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Finding the Third Proportional to 122,139.75 and 269,126.25

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Solution

The third proportional to 122,139.75 and 269,126.25 is: 593,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,139.75 : 269,126.25 = 269,126.25 : x
  2. Step 2: Convert to fraction form
    122,139.75/269,126.25 = 269,126.25/x
  3. Step 3: Cross multiply
    122,139.75x = 269,126.25 × 269,126.25
  4. Step 4: Simplify right side
    122,139.75x = 72,428,938,439.06
  5. Step 5: Solve for x
    x = 72,428,938,439.06/122,139.75
  6. Step 6: Final answer
    x = 593,000.55

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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.