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Finding the Third Proportional to 100,439.68 and 136,409.85

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Solution

The third proportional to 100,439.68 and 136,409.85 is: 185,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,439.68 : 136,409.85 = 136,409.85 : x
  2. Step 2: Convert to fraction form
    100,439.68/136,409.85 = 136,409.85/x
  3. Step 3: Cross multiply
    100,439.68x = 136,409.85 × 136,409.85
  4. Step 4: Simplify right side
    100,439.68x = 18,607,648,136.15
  5. Step 5: Solve for x
    x = 18,607,648,136.15/100,439.68
  6. Step 6: Final answer
    x = 185,261.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.