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Finding the Third Proportional to 7,854.75 and 9,957.38

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Solution

The third proportional to 7,854.75 and 9,957.38 is: 12,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.75 : 9,957.38 = 9,957.38 : x
  2. Step 2: Convert to fraction form
    7,854.75/9,957.38 = 9,957.38/x
  3. Step 3: Cross multiply
    7,854.75x = 9,957.38 × 9,957.38
  4. Step 4: Simplify right side
    7,854.75x = 99,149,316.89
  5. Step 5: Solve for x
    x = 99,149,316.89/7,854.75
  6. Step 6: Final answer
    x = 12,622.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.