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Finding the Third Proportional to 66,266 and 129,188

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Solution

The third proportional to 66,266 and 129,188 is: 251,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,266 : 129,188 = 129,188 : x
  2. Step 2: Convert to fraction form
    66,266/129,188 = 129,188/x
  3. Step 3: Cross multiply
    66,266x = 129,188 × 129,188
  4. Step 4: Simplify right side
    66,266x = 16,689,539,344
  5. Step 5: Solve for x
    x = 16,689,539,344/66,266
  6. Step 6: Final answer
    x = 251,856.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.