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Finding the Third Proportional to 81,315 and 129,501

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Solution

The third proportional to 81,315 and 129,501 is: 206,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,315 : 129,501 = 129,501 : x
  2. Step 2: Convert to fraction form
    81,315/129,501 = 129,501/x
  3. Step 3: Cross multiply
    81,315x = 129,501 × 129,501
  4. Step 4: Simplify right side
    81,315x = 16,770,509,001
  5. Step 5: Solve for x
    x = 16,770,509,001/81,315
  6. Step 6: Final answer
    x = 206,241.27

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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.