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Finding the Third Proportional to 417,915 and 627,822

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Solution

The third proportional to 417,915 and 627,822 is: 943,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,915 : 627,822 = 627,822 : x
  2. Step 2: Convert to fraction form
    417,915/627,822 = 627,822/x
  3. Step 3: Cross multiply
    417,915x = 627,822 × 627,822
  4. Step 4: Simplify right side
    417,915x = 394,160,463,684
  5. Step 5: Solve for x
    x = 394,160,463,684/417,915
  6. Step 6: Final answer
    x = 943,159.41

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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.