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Finding the Third Proportional to 7,129.13 and 9,546.19

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Solution

The third proportional to 7,129.13 and 9,546.19 is: 12,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.13 : 9,546.19 = 9,546.19 : x
  2. Step 2: Convert to fraction form
    7,129.13/9,546.19 = 9,546.19/x
  3. Step 3: Cross multiply
    7,129.13x = 9,546.19 × 9,546.19
  4. Step 4: Simplify right side
    7,129.13x = 91,129,695.79
  5. Step 5: Solve for x
    x = 91,129,695.79/7,129.13
  6. Step 6: Final answer
    x = 12,782.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.