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Finding the Third Proportional to 76,552 and 116,448

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Solution

The third proportional to 76,552 and 116,448 is: 177,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,552 : 116,448 = 116,448 : x
  2. Step 2: Convert to fraction form
    76,552/116,448 = 116,448/x
  3. Step 3: Cross multiply
    76,552x = 116,448 × 116,448
  4. Step 4: Simplify right side
    76,552x = 13,560,136,704
  5. Step 5: Solve for x
    x = 13,560,136,704/76,552
  6. Step 6: Final answer
    x = 177,136.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.