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Finding the Third Proportional to 144,374 and 217,191

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Solution

The third proportional to 144,374 and 217,191 is: 326,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,374 : 217,191 = 217,191 : x
  2. Step 2: Convert to fraction form
    144,374/217,191 = 217,191/x
  3. Step 3: Cross multiply
    144,374x = 217,191 × 217,191
  4. Step 4: Simplify right side
    144,374x = 47,171,930,481
  5. Step 5: Solve for x
    x = 47,171,930,481/144,374
  6. Step 6: Final answer
    x = 326,734.25

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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.