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Finding the Third Proportional to 8,121.52 and 9,266.27

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Solution

The third proportional to 8,121.52 and 9,266.27 is: 10,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.52 : 9,266.27 = 9,266.27 : x
  2. Step 2: Convert to fraction form
    8,121.52/9,266.27 = 9,266.27/x
  3. Step 3: Cross multiply
    8,121.52x = 9,266.27 × 9,266.27
  4. Step 4: Simplify right side
    8,121.52x = 85,863,823.42
  5. Step 5: Solve for x
    x = 85,863,823.42/8,121.52
  6. Step 6: Final answer
    x = 10,572.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.