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Finding the Third Proportional to 7,129.13 and 9,461.25

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Solution

The third proportional to 7,129.13 and 9,461.25 is: 12,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.13 : 9,461.25 = 9,461.25 : x
  2. Step 2: Convert to fraction form
    7,129.13/9,461.25 = 9,461.25/x
  3. Step 3: Cross multiply
    7,129.13x = 9,461.25 × 9,461.25
  4. Step 4: Simplify right side
    7,129.13x = 89,515,251.56
  5. Step 5: Solve for x
    x = 89,515,251.56/7,129.13
  6. Step 6: Final answer
    x = 12,556.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.