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Finding the Third Proportional to 148,226 and 319,780

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Solution

The third proportional to 148,226 and 319,780 is: 689,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,226 : 319,780 = 319,780 : x
  2. Step 2: Convert to fraction form
    148,226/319,780 = 319,780/x
  3. Step 3: Cross multiply
    148,226x = 319,780 × 319,780
  4. Step 4: Simplify right side
    148,226x = 102,259,248,400
  5. Step 5: Solve for x
    x = 102,259,248,400/148,226
  6. Step 6: Final answer
    x = 689,887.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.