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Finding the Third Proportional to 635,786,145,801 and 977,248,889,491.50

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Solution

The third proportional to 635,786,145,801 and 977,248,889,491.50 is: 1,502,101,608,095.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,786,145,801 : 977,248,889,491.50 = 977,248,889,491.50 : x
  2. Step 2: Convert to fraction form
    635,786,145,801/977,248,889,491.50 = 977,248,889,491.50/x
  3. Step 3: Cross multiply
    635,786,145,801x = 977,248,889,491.50 × 977,248,889,491.50
  4. Step 4: Simplify right side
    635,786,145,801x = 955,015,392,012,369,947,262,976
  5. Step 5: Solve for x
    x = 955,015,392,012,369,947,262,976/635,786,145,801
  6. Step 6: Final answer
    x = 1,502,101,608,095.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.