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Finding the Third Proportional to 83,860 and 113,950

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Solution

The third proportional to 83,860 and 113,950 is: 154,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,860 : 113,950 = 113,950 : x
  2. Step 2: Convert to fraction form
    83,860/113,950 = 113,950/x
  3. Step 3: Cross multiply
    83,860x = 113,950 × 113,950
  4. Step 4: Simplify right side
    83,860x = 12,984,602,500
  5. Step 5: Solve for x
    x = 12,984,602,500/83,860
  6. Step 6: Final answer
    x = 154,836.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.