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Finding the Third Proportional to 57,098 and 81,156

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Solution

The third proportional to 57,098 and 81,156 is: 115,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098 : 81,156 = 81,156 : x
  2. Step 2: Convert to fraction form
    57,098/81,156 = 81,156/x
  3. Step 3: Cross multiply
    57,098x = 81,156 × 81,156
  4. Step 4: Simplify right side
    57,098x = 6,586,296,336
  5. Step 5: Solve for x
    x = 6,586,296,336/57,098
  6. Step 6: Final answer
    x = 115,350.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.