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Finding the Third Proportional to 71,250 and 110,469

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Solution

The third proportional to 71,250 and 110,469 is: 171,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,250 : 110,469 = 110,469 : x
  2. Step 2: Convert to fraction form
    71,250/110,469 = 110,469/x
  3. Step 3: Cross multiply
    71,250x = 110,469 × 110,469
  4. Step 4: Simplify right side
    71,250x = 12,203,399,961
  5. Step 5: Solve for x
    x = 12,203,399,961/71,250
  6. Step 6: Final answer
    x = 171,275.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.