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Finding the Third Proportional to 71,146 and 107,188

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Solution

The third proportional to 71,146 and 107,188 is: 161,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146 : 107,188 = 107,188 : x
  2. Step 2: Convert to fraction form
    71,146/107,188 = 107,188/x
  3. Step 3: Cross multiply
    71,146x = 107,188 × 107,188
  4. Step 4: Simplify right side
    71,146x = 11,489,267,344
  5. Step 5: Solve for x
    x = 11,489,267,344/71,146
  6. Step 6: Final answer
    x = 161,488.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.