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Finding the Third Proportional to 7,902.56 and 8,758.13

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Solution

The third proportional to 7,902.56 and 8,758.13 is: 9,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.56 : 8,758.13 = 8,758.13 : x
  2. Step 2: Convert to fraction form
    7,902.56/8,758.13 = 8,758.13/x
  3. Step 3: Cross multiply
    7,902.56x = 8,758.13 × 8,758.13
  4. Step 4: Simplify right side
    7,902.56x = 76,704,753.52
  5. Step 5: Solve for x
    x = 76,704,753.52/7,902.56
  6. Step 6: Final answer
    x = 9,706.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.