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Finding the Third Proportional to 137,128 and 211,909

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Solution

The third proportional to 137,128 and 211,909 is: 327,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,128 : 211,909 = 211,909 : x
  2. Step 2: Convert to fraction form
    137,128/211,909 = 211,909/x
  3. Step 3: Cross multiply
    137,128x = 211,909 × 211,909
  4. Step 4: Simplify right side
    137,128x = 44,905,424,281
  5. Step 5: Solve for x
    x = 44,905,424,281/137,128
  6. Step 6: Final answer
    x = 327,470.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.