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Finding the Third Proportional to 417,377 and 623,607

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Solution

The third proportional to 417,377 and 623,607 is: 931,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,377 : 623,607 = 623,607 : x
  2. Step 2: Convert to fraction form
    417,377/623,607 = 623,607/x
  3. Step 3: Cross multiply
    417,377x = 623,607 × 623,607
  4. Step 4: Simplify right side
    417,377x = 388,885,690,449
  5. Step 5: Solve for x
    x = 388,885,690,449/417,377
  6. Step 6: Final answer
    x = 931,737.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.