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Finding the Third Proportional to 8,778.38 and 16,311.38

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Solution

The third proportional to 8,778.38 and 16,311.38 is: 30,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778.38 : 16,311.38 = 16,311.38 : x
  2. Step 2: Convert to fraction form
    8,778.38/16,311.38 = 16,311.38/x
  3. Step 3: Cross multiply
    8,778.38x = 16,311.38 × 16,311.38
  4. Step 4: Simplify right side
    8,778.38x = 266,060,954.39
  5. Step 5: Solve for x
    x = 266,060,954.39/8,778.38
  6. Step 6: Final answer
    x = 30,308.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.