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Finding the Third Proportional to 127,912 and 200,217

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Solution

The third proportional to 127,912 and 200,217 is: 313,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,912 : 200,217 = 200,217 : x
  2. Step 2: Convert to fraction form
    127,912/200,217 = 200,217/x
  3. Step 3: Cross multiply
    127,912x = 200,217 × 200,217
  4. Step 4: Simplify right side
    127,912x = 40,086,847,089
  5. Step 5: Solve for x
    x = 40,086,847,089/127,912
  6. Step 6: Final answer
    x = 313,393.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.