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Finding the Third Proportional to 135,291 and 214,217

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Solution

The third proportional to 135,291 and 214,217 is: 339,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,291 : 214,217 = 214,217 : x
  2. Step 2: Convert to fraction form
    135,291/214,217 = 214,217/x
  3. Step 3: Cross multiply
    135,291x = 214,217 × 214,217
  4. Step 4: Simplify right side
    135,291x = 45,888,923,089
  5. Step 5: Solve for x
    x = 45,888,923,089/135,291
  6. Step 6: Final answer
    x = 339,186.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.