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Finding the Third Proportional to 3,862.90 and 8,272.55

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Solution

The third proportional to 3,862.90 and 8,272.55 is: 17,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.90 : 8,272.55 = 8,272.55 : x
  2. Step 2: Convert to fraction form
    3,862.90/8,272.55 = 8,272.55/x
  3. Step 3: Cross multiply
    3,862.90x = 8,272.55 × 8,272.55
  4. Step 4: Simplify right side
    3,862.90x = 68,435,031.80
  5. Step 5: Solve for x
    x = 68,435,031.80/3,862.90
  6. Step 6: Final answer
    x = 17,715.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.