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Finding the Third Proportional to 8,841.38 and 12,785.63

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Solution

The third proportional to 8,841.38 and 12,785.63 is: 18,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.38 : 12,785.63 = 12,785.63 : x
  2. Step 2: Convert to fraction form
    8,841.38/12,785.63 = 12,785.63/x
  3. Step 3: Cross multiply
    8,841.38x = 12,785.63 × 12,785.63
  4. Step 4: Simplify right side
    8,841.38x = 163,472,206.64
  5. Step 5: Solve for x
    x = 163,472,206.64/8,841.38
  6. Step 6: Final answer
    x = 18,489.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.