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Finding the Third Proportional to 472,636 and 726,474

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Solution

The third proportional to 472,636 and 726,474 is: 1,116,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,636 : 726,474 = 726,474 : x
  2. Step 2: Convert to fraction form
    472,636/726,474 = 726,474/x
  3. Step 3: Cross multiply
    472,636x = 726,474 × 726,474
  4. Step 4: Simplify right side
    472,636x = 527,764,472,676
  5. Step 5: Solve for x
    x = 527,764,472,676/472,636
  6. Step 6: Final answer
    x = 1,116,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.