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Finding the Third Proportional to 92,715.50 and 125,946

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Solution

The third proportional to 92,715.50 and 125,946 is: 171,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,715.50 : 125,946 = 125,946 : x
  2. Step 2: Convert to fraction form
    92,715.50/125,946 = 125,946/x
  3. Step 3: Cross multiply
    92,715.50x = 125,946 × 125,946
  4. Step 4: Simplify right side
    92,715.50x = 15,862,394,916
  5. Step 5: Solve for x
    x = 15,862,394,916/92,715.50
  6. Step 6: Final answer
    x = 171,086.76

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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.