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Finding the Third Proportional to 122,132.25 and 269,112

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Solution

The third proportional to 122,132.25 and 269,112 is: 592,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,132.25 : 269,112 = 269,112 : x
  2. Step 2: Convert to fraction form
    122,132.25/269,112 = 269,112/x
  3. Step 3: Cross multiply
    122,132.25x = 269,112 × 269,112
  4. Step 4: Simplify right side
    122,132.25x = 72,421,268,544
  5. Step 5: Solve for x
    x = 72,421,268,544/122,132.25
  6. Step 6: Final answer
    x = 592,974.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.