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Finding the Third Proportional to 140,486 and 215,425

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Solution

The third proportional to 140,486 and 215,425 is: 330,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,486 : 215,425 = 215,425 : x
  2. Step 2: Convert to fraction form
    140,486/215,425 = 215,425/x
  3. Step 3: Cross multiply
    140,486x = 215,425 × 215,425
  4. Step 4: Simplify right side
    140,486x = 46,407,930,625
  5. Step 5: Solve for x
    x = 46,407,930,625/140,486
  6. Step 6: Final answer
    x = 330,338.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.