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Finding the Third Proportional to 387,331 and 528,055

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Solution

The third proportional to 387,331 and 528,055 is: 719,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,331 : 528,055 = 528,055 : x
  2. Step 2: Convert to fraction form
    387,331/528,055 = 528,055/x
  3. Step 3: Cross multiply
    387,331x = 528,055 × 528,055
  4. Step 4: Simplify right side
    387,331x = 278,842,083,025
  5. Step 5: Solve for x
    x = 278,842,083,025/387,331
  6. Step 6: Final answer
    x = 719,906.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.