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Finding the Third Proportional to 7,942.50 and 15,864.75

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Solution

The third proportional to 7,942.50 and 15,864.75 is: 31,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.50 : 15,864.75 = 15,864.75 : x
  2. Step 2: Convert to fraction form
    7,942.50/15,864.75 = 15,864.75/x
  3. Step 3: Cross multiply
    7,942.50x = 15,864.75 × 15,864.75
  4. Step 4: Simplify right side
    7,942.50x = 251,690,292.56
  5. Step 5: Solve for x
    x = 251,690,292.56/7,942.50
  6. Step 6: Final answer
    x = 31,689.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.