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Finding the Third Proportional to 8,374.50 and 11,373.19

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Solution

The third proportional to 8,374.50 and 11,373.19 is: 15,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.50 : 11,373.19 = 11,373.19 : x
  2. Step 2: Convert to fraction form
    8,374.50/11,373.19 = 11,373.19/x
  3. Step 3: Cross multiply
    8,374.50x = 11,373.19 × 11,373.19
  4. Step 4: Simplify right side
    8,374.50x = 129,349,393.91
  5. Step 5: Solve for x
    x = 129,349,393.91/8,374.50
  6. Step 6: Final answer
    x = 15,445.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.