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Finding the Third Proportional to 81,712 and 131,100

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Solution

The third proportional to 81,712 and 131,100 is: 210,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712 : 131,100 = 131,100 : x
  2. Step 2: Convert to fraction form
    81,712/131,100 = 131,100/x
  3. Step 3: Cross multiply
    81,712x = 131,100 × 131,100
  4. Step 4: Simplify right side
    81,712x = 17,187,210,000
  5. Step 5: Solve for x
    x = 17,187,210,000/81,712
  6. Step 6: Final answer
    x = 210,338.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.