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Finding the Third Proportional to 51,374 and 81,516

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Solution

The third proportional to 51,374 and 81,516 is: 129,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,374 : 81,516 = 81,516 : x
  2. Step 2: Convert to fraction form
    51,374/81,516 = 81,516/x
  3. Step 3: Cross multiply
    51,374x = 81,516 × 81,516
  4. Step 4: Simplify right side
    51,374x = 6,644,858,256
  5. Step 5: Solve for x
    x = 6,644,858,256/51,374
  6. Step 6: Final answer
    x = 129,342.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.