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Finding the Third Proportional to 3,726.42 and 8,153.44

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Solution

The third proportional to 3,726.42 and 8,153.44 is: 17,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.42 : 8,153.44 = 8,153.44 : x
  2. Step 2: Convert to fraction form
    3,726.42/8,153.44 = 8,153.44/x
  3. Step 3: Cross multiply
    3,726.42x = 8,153.44 × 8,153.44
  4. Step 4: Simplify right side
    3,726.42x = 66,478,543.07
  5. Step 5: Solve for x
    x = 66,478,543.07/3,726.42
  6. Step 6: Final answer
    x = 17,839.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.