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Finding the Third Proportional to 100,463.06 and 136,439.44

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Solution

The third proportional to 100,463.06 and 136,439.44 is: 185,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,463.06 : 136,439.44 = 136,439.44 : x
  2. Step 2: Convert to fraction form
    100,463.06/136,439.44 = 136,439.44/x
  3. Step 3: Cross multiply
    100,463.06x = 136,439.44 × 136,439.44
  4. Step 4: Simplify right side
    100,463.06x = 18,615,720,105.32
  5. Step 5: Solve for x
    x = 18,615,720,105.32/100,463.06
  6. Step 6: Final answer
    x = 185,299.15

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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.