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Finding the Third Proportional to 8,785.13 and 9,453.38

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Solution

The third proportional to 8,785.13 and 9,453.38 is: 10,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,785.13 : 9,453.38 = 9,453.38 : x
  2. Step 2: Convert to fraction form
    8,785.13/9,453.38 = 9,453.38/x
  3. Step 3: Cross multiply
    8,785.13x = 9,453.38 × 9,453.38
  4. Step 4: Simplify right side
    8,785.13x = 89,366,298.89
  5. Step 5: Solve for x
    x = 89,366,298.89/8,785.13
  6. Step 6: Final answer
    x = 10,172.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.