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Finding the Third Proportional to 7,307.06 and 15,781.88

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Solution

The third proportional to 7,307.06 and 15,781.88 is: 34,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.06 : 15,781.88 = 15,781.88 : x
  2. Step 2: Convert to fraction form
    7,307.06/15,781.88 = 15,781.88/x
  3. Step 3: Cross multiply
    7,307.06x = 15,781.88 × 15,781.88
  4. Step 4: Simplify right side
    7,307.06x = 249,067,578.52
  5. Step 5: Solve for x
    x = 249,067,578.52/7,307.06
  6. Step 6: Final answer
    x = 34,085.87

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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.