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Finding the Third Proportional to 8,642.53 and 13,213.13

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Solution

The third proportional to 8,642.53 and 13,213.13 is: 20,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.53 : 13,213.13 = 13,213.13 : x
  2. Step 2: Convert to fraction form
    8,642.53/13,213.13 = 13,213.13/x
  3. Step 3: Cross multiply
    8,642.53x = 13,213.13 × 13,213.13
  4. Step 4: Simplify right side
    8,642.53x = 174,586,672.27
  5. Step 5: Solve for x
    x = 174,586,672.27/8,642.53
  6. Step 6: Final answer
    x = 20,200.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.