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Finding the Third Proportional to 71,285 and 99,660.50

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Solution

The third proportional to 71,285 and 99,660.50 is: 139,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,285 : 99,660.50 = 99,660.50 : x
  2. Step 2: Convert to fraction form
    71,285/99,660.50 = 99,660.50/x
  3. Step 3: Cross multiply
    71,285x = 99,660.50 × 99,660.50
  4. Step 4: Simplify right side
    71,285x = 9,932,215,260.25
  5. Step 5: Solve for x
    x = 9,932,215,260.25/71,285
  6. Step 6: Final answer
    x = 139,331.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.