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Finding the Third Proportional to 41,912 and 91,312

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Solution

The third proportional to 41,912 and 91,312 is: 198,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,912 : 91,312 = 91,312 : x
  2. Step 2: Convert to fraction form
    41,912/91,312 = 91,312/x
  3. Step 3: Cross multiply
    41,912x = 91,312 × 91,312
  4. Step 4: Simplify right side
    41,912x = 8,337,881,344
  5. Step 5: Solve for x
    x = 8,337,881,344/41,912
  6. Step 6: Final answer
    x = 198,937.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.