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Finding the Third Proportional to 75,712 and 82,785

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Solution

The third proportional to 75,712 and 82,785 is: 90,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712 : 82,785 = 82,785 : x
  2. Step 2: Convert to fraction form
    75,712/82,785 = 82,785/x
  3. Step 3: Cross multiply
    75,712x = 82,785 × 82,785
  4. Step 4: Simplify right side
    75,712x = 6,853,356,225
  5. Step 5: Solve for x
    x = 6,853,356,225/75,712
  6. Step 6: Final answer
    x = 90,518.76

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.