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Finding the Third Proportional to 274,572 and 641,448

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Solution

The third proportional to 274,572 and 641,448 is: 1,498,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,572 : 641,448 = 641,448 : x
  2. Step 2: Convert to fraction form
    274,572/641,448 = 641,448/x
  3. Step 3: Cross multiply
    274,572x = 641,448 × 641,448
  4. Step 4: Simplify right side
    274,572x = 411,455,536,704
  5. Step 5: Solve for x
    x = 411,455,536,704/274,572
  6. Step 6: Final answer
    x = 1,498,534.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.