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Finding the Third Proportional to 51,517.25 and 81,731

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Solution

The third proportional to 51,517.25 and 81,731 is: 129,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,517.25 : 81,731 = 81,731 : x
  2. Step 2: Convert to fraction form
    51,517.25/81,731 = 81,731/x
  3. Step 3: Cross multiply
    51,517.25x = 81,731 × 81,731
  4. Step 4: Simplify right side
    51,517.25x = 6,679,956,361
  5. Step 5: Solve for x
    x = 6,679,956,361/51,517.25
  6. Step 6: Final answer
    x = 129,664.46

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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.