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Finding the Third Proportional to 122,135 and 269,120

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Solution

The third proportional to 122,135 and 269,120 is: 592,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,135 : 269,120 = 269,120 : x
  2. Step 2: Convert to fraction form
    122,135/269,120 = 269,120/x
  3. Step 3: Cross multiply
    122,135x = 269,120 × 269,120
  4. Step 4: Simplify right side
    122,135x = 72,425,574,400
  5. Step 5: Solve for x
    x = 72,425,574,400/122,135
  6. Step 6: Final answer
    x = 592,996.07

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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.