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Finding the Third Proportional to 144,372 and 217,188

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Solution

The third proportional to 144,372 and 217,188 is: 326,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,372 : 217,188 = 217,188 : x
  2. Step 2: Convert to fraction form
    144,372/217,188 = 217,188/x
  3. Step 3: Cross multiply
    144,372x = 217,188 × 217,188
  4. Step 4: Simplify right side
    144,372x = 47,170,627,344
  5. Step 5: Solve for x
    x = 47,170,627,344/144,372
  6. Step 6: Final answer
    x = 326,729.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.