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Finding the Third Proportional to 7,239.80 and 15,863.48

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Solution

The third proportional to 7,239.80 and 15,863.48 is: 34,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.80 : 15,863.48 = 15,863.48 : x
  2. Step 2: Convert to fraction form
    7,239.80/15,863.48 = 15,863.48/x
  3. Step 3: Cross multiply
    7,239.80x = 15,863.48 × 15,863.48
  4. Step 4: Simplify right side
    7,239.80x = 251,650,136.52
  5. Step 5: Solve for x
    x = 251,650,136.52/7,239.80
  6. Step 6: Final answer
    x = 34,759.28

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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.