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Finding the Third Proportional to 7,306.88 and 15,781.29

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Solution

The third proportional to 7,306.88 and 15,781.29 is: 34,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.88 : 15,781.29 = 15,781.29 : x
  2. Step 2: Convert to fraction form
    7,306.88/15,781.29 = 15,781.29/x
  3. Step 3: Cross multiply
    7,306.88x = 15,781.29 × 15,781.29
  4. Step 4: Simplify right side
    7,306.88x = 249,049,084.47
  5. Step 5: Solve for x
    x = 249,049,084.47/7,306.88
  6. Step 6: Final answer
    x = 34,084.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.