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Finding the Third Proportional to 100,468.50 and 136,821

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Solution

The third proportional to 100,468.50 and 136,821 is: 186,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.50 : 136,821 = 136,821 : x
  2. Step 2: Convert to fraction form
    100,468.50/136,821 = 136,821/x
  3. Step 3: Cross multiply
    100,468.50x = 136,821 × 136,821
  4. Step 4: Simplify right side
    100,468.50x = 18,719,986,041
  5. Step 5: Solve for x
    x = 18,719,986,041/100,468.50
  6. Step 6: Final answer
    x = 186,326.92

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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.