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Finding the Third Proportional to 59,112 and 81,285

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Solution

The third proportional to 59,112 and 81,285 is: 111,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,112 : 81,285 = 81,285 : x
  2. Step 2: Convert to fraction form
    59,112/81,285 = 81,285/x
  3. Step 3: Cross multiply
    59,112x = 81,285 × 81,285
  4. Step 4: Simplify right side
    59,112x = 6,607,251,225
  5. Step 5: Solve for x
    x = 6,607,251,225/59,112
  6. Step 6: Final answer
    x = 111,775.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.