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Finding the Third Proportional to 349,715 and 627,472

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Solution

The third proportional to 349,715 and 627,472 is: 1,125,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,715 : 627,472 = 627,472 : x
  2. Step 2: Convert to fraction form
    349,715/627,472 = 627,472/x
  3. Step 3: Cross multiply
    349,715x = 627,472 × 627,472
  4. Step 4: Simplify right side
    349,715x = 393,721,110,784
  5. Step 5: Solve for x
    x = 393,721,110,784/349,715
  6. Step 6: Final answer
    x = 1,125,834.21

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.