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Finding the Third Proportional to 7,117.88 and 9,414.56

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Solution

The third proportional to 7,117.88 and 9,414.56 is: 12,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.88 : 9,414.56 = 9,414.56 : x
  2. Step 2: Convert to fraction form
    7,117.88/9,414.56 = 9,414.56/x
  3. Step 3: Cross multiply
    7,117.88x = 9,414.56 × 9,414.56
  4. Step 4: Simplify right side
    7,117.88x = 88,633,987.07
  5. Step 5: Solve for x
    x = 88,633,987.07/7,117.88
  6. Step 6: Final answer
    x = 12,452.31

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.