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Finding the Third Proportional to 81,901.13 and 168,307.88

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Solution

The third proportional to 81,901.13 and 168,307.88 is: 345,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,901.13 : 168,307.88 = 168,307.88 : x
  2. Step 2: Convert to fraction form
    81,901.13/168,307.88 = 168,307.88/x
  3. Step 3: Cross multiply
    81,901.13x = 168,307.88 × 168,307.88
  4. Step 4: Simplify right side
    81,901.13x = 28,327,540,787.02
  5. Step 5: Solve for x
    x = 28,327,540,787.02/81,901.13
  6. Step 6: Final answer
    x = 345,874.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.