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Finding the Third Proportional to 91,749 and 129,199

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Solution

The third proportional to 91,749 and 129,199 is: 181,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,749 : 129,199 = 129,199 : x
  2. Step 2: Convert to fraction form
    91,749/129,199 = 129,199/x
  3. Step 3: Cross multiply
    91,749x = 129,199 × 129,199
  4. Step 4: Simplify right side
    91,749x = 16,692,381,601
  5. Step 5: Solve for x
    x = 16,692,381,601/91,749
  6. Step 6: Final answer
    x = 181,935.30

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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.