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Finding the Third Proportional to 91,778 and 129,247

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Solution

The third proportional to 91,778 and 129,247 is: 182,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,778 : 129,247 = 129,247 : x
  2. Step 2: Convert to fraction form
    91,778/129,247 = 129,247/x
  3. Step 3: Cross multiply
    91,778x = 129,247 × 129,247
  4. Step 4: Simplify right side
    91,778x = 16,704,787,009
  5. Step 5: Solve for x
    x = 16,704,787,009/91,778
  6. Step 6: Final answer
    x = 182,012.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.