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Finding the Third Proportional to 122,136.19 and 269,119.69

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Solution

The third proportional to 122,136.19 and 269,119.69 is: 592,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,136.19 : 269,119.69 = 269,119.69 : x
  2. Step 2: Convert to fraction form
    122,136.19/269,119.69 = 269,119.69/x
  3. Step 3: Cross multiply
    122,136.19x = 269,119.69 × 269,119.69
  4. Step 4: Simplify right side
    122,136.19x = 72,425,406,200.10
  5. Step 5: Solve for x
    x = 72,425,406,200.10/122,136.19
  6. Step 6: Final answer
    x = 592,988.92

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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.