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Finding the Third Proportional to 127,538 and 161,711

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Solution

The third proportional to 127,538 and 161,711 is: 205,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,538 : 161,711 = 161,711 : x
  2. Step 2: Convert to fraction form
    127,538/161,711 = 161,711/x
  3. Step 3: Cross multiply
    127,538x = 161,711 × 161,711
  4. Step 4: Simplify right side
    127,538x = 26,150,447,521
  5. Step 5: Solve for x
    x = 26,150,447,521/127,538
  6. Step 6: Final answer
    x = 205,040.44

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.