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Finding the Third Proportional to 338,432 and 507,721

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Solution

The third proportional to 338,432 and 507,721 is: 761,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,432 : 507,721 = 507,721 : x
  2. Step 2: Convert to fraction form
    338,432/507,721 = 507,721/x
  3. Step 3: Cross multiply
    338,432x = 507,721 × 507,721
  4. Step 4: Simplify right side
    338,432x = 257,780,613,841
  5. Step 5: Solve for x
    x = 257,780,613,841/338,432
  6. Step 6: Final answer
    x = 761,691.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.