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Finding the Third Proportional to 78,013.50 and 159,724.13

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Solution

The third proportional to 78,013.50 and 159,724.13 is: 327,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.50 : 159,724.13 = 159,724.13 : x
  2. Step 2: Convert to fraction form
    78,013.50/159,724.13 = 159,724.13/x
  3. Step 3: Cross multiply
    78,013.50x = 159,724.13 × 159,724.13
  4. Step 4: Simplify right side
    78,013.50x = 25,511,796,107.02
  5. Step 5: Solve for x
    x = 25,511,796,107.02/78,013.50
  6. Step 6: Final answer
    x = 327,017.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.