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Finding the Third Proportional to 66,472 and 140,448

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Solution

The third proportional to 66,472 and 140,448 is: 296,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,472 : 140,448 = 140,448 : x
  2. Step 2: Convert to fraction form
    66,472/140,448 = 140,448/x
  3. Step 3: Cross multiply
    66,472x = 140,448 × 140,448
  4. Step 4: Simplify right side
    66,472x = 19,725,640,704
  5. Step 5: Solve for x
    x = 19,725,640,704/66,472
  6. Step 6: Final answer
    x = 296,751.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.