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Finding the Third Proportional to 138,169.50 and 213,360

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Solution

The third proportional to 138,169.50 and 213,360 is: 329,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,169.50 : 213,360 = 213,360 : x
  2. Step 2: Convert to fraction form
    138,169.50/213,360 = 213,360/x
  3. Step 3: Cross multiply
    138,169.50x = 213,360 × 213,360
  4. Step 4: Simplify right side
    138,169.50x = 45,522,489,600
  5. Step 5: Solve for x
    x = 45,522,489,600/138,169.50
  6. Step 6: Final answer
    x = 329,468.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.