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Finding the Third Proportional to 100,474.50 and 136,830

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Solution

The third proportional to 100,474.50 and 136,830 is: 186,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474.50 : 136,830 = 136,830 : x
  2. Step 2: Convert to fraction form
    100,474.50/136,830 = 136,830/x
  3. Step 3: Cross multiply
    100,474.50x = 136,830 × 136,830
  4. Step 4: Simplify right side
    100,474.50x = 18,722,448,900
  5. Step 5: Solve for x
    x = 18,722,448,900/100,474.50
  6. Step 6: Final answer
    x = 186,340.30

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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.