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Finding the Third Proportional to 8,387.44 and 11,350.69

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Solution

The third proportional to 8,387.44 and 11,350.69 is: 15,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.44 : 11,350.69 = 11,350.69 : x
  2. Step 2: Convert to fraction form
    8,387.44/11,350.69 = 11,350.69/x
  3. Step 3: Cross multiply
    8,387.44x = 11,350.69 × 11,350.69
  4. Step 4: Simplify right side
    8,387.44x = 128,838,106.72
  5. Step 5: Solve for x
    x = 128,838,106.72/8,387.44
  6. Step 6: Final answer
    x = 15,360.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.