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Finding the Third Proportional to 81,709 and 175,081

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Solution

The third proportional to 81,709 and 175,081 is: 375,152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,709 : 175,081 = 175,081 : x
  2. Step 2: Convert to fraction form
    81,709/175,081 = 175,081/x
  3. Step 3: Cross multiply
    81,709x = 175,081 × 175,081
  4. Step 4: Simplify right side
    81,709x = 30,653,356,561
  5. Step 5: Solve for x
    x = 30,653,356,561/81,709
  6. Step 6: Final answer
    x = 375,152.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.