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Finding the Third Proportional to 415,388 and 622,388

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Solution

The third proportional to 415,388 and 622,388 is: 932,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,388 : 622,388 = 622,388 : x
  2. Step 2: Convert to fraction form
    415,388/622,388 = 622,388/x
  3. Step 3: Cross multiply
    415,388x = 622,388 × 622,388
  4. Step 4: Simplify right side
    415,388x = 387,366,822,544
  5. Step 5: Solve for x
    x = 387,366,822,544/415,388
  6. Step 6: Final answer
    x = 932,542.16

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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.