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Finding the Third Proportional to 81,145.50 and 175,251

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Solution

The third proportional to 81,145.50 and 175,251 is: 378,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145.50 : 175,251 = 175,251 : x
  2. Step 2: Convert to fraction form
    81,145.50/175,251 = 175,251/x
  3. Step 3: Cross multiply
    81,145.50x = 175,251 × 175,251
  4. Step 4: Simplify right side
    81,145.50x = 30,712,913,001
  5. Step 5: Solve for x
    x = 30,712,913,001/81,145.50
  6. Step 6: Final answer
    x = 378,491.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.