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Finding the Third Proportional to 6,102.25 and 9,129.25

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Solution

The third proportional to 6,102.25 and 9,129.25 is: 13,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.25 : 9,129.25 = 9,129.25 : x
  2. Step 2: Convert to fraction form
    6,102.25/9,129.25 = 9,129.25/x
  3. Step 3: Cross multiply
    6,102.25x = 9,129.25 × 9,129.25
  4. Step 4: Simplify right side
    6,102.25x = 83,343,205.56
  5. Step 5: Solve for x
    x = 83,343,205.56/6,102.25
  6. Step 6: Final answer
    x = 13,657.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.