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Finding the Third Proportional to 18,766.69 and 31,281.19

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Solution

The third proportional to 18,766.69 and 31,281.19 is: 52,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.69 : 31,281.19 = 31,281.19 : x
  2. Step 2: Convert to fraction form
    18,766.69/31,281.19 = 31,281.19/x
  3. Step 3: Cross multiply
    18,766.69x = 31,281.19 × 31,281.19
  4. Step 4: Simplify right side
    18,766.69x = 978,512,691.41
  5. Step 5: Solve for x
    x = 978,512,691.41/18,766.69
  6. Step 6: Final answer
    x = 52,140.94

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.