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Finding the Third Proportional to 502,410 and 765,377

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Solution

The third proportional to 502,410 and 765,377 is: 1,165,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,410 : 765,377 = 765,377 : x
  2. Step 2: Convert to fraction form
    502,410/765,377 = 765,377/x
  3. Step 3: Cross multiply
    502,410x = 765,377 × 765,377
  4. Step 4: Simplify right side
    502,410x = 585,801,952,129
  5. Step 5: Solve for x
    x = 585,801,952,129/502,410
  6. Step 6: Final answer
    x = 1,165,983.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.