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Finding the Third Proportional to 635,786,145,803 and 977,248,889,495

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Solution

The third proportional to 635,786,145,803 and 977,248,889,495 is: 1,502,101,608,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,786,145,803 : 977,248,889,495 = 977,248,889,495 : x
  2. Step 2: Convert to fraction form
    635,786,145,803/977,248,889,495 = 977,248,889,495/x
  3. Step 3: Cross multiply
    635,786,145,803x = 977,248,889,495 × 977,248,889,495
  4. Step 4: Simplify right side
    635,786,145,803x = 955,015,392,019,210,756,423,680
  5. Step 5: Solve for x
    x = 955,015,392,019,210,756,423,680/635,786,145,803
  6. Step 6: Final answer
    x = 1,502,101,608,101.30

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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.