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Finding the Third Proportional to 177,860 and 273,350

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Solution

The third proportional to 177,860 and 273,350 is: 420,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,860 : 273,350 = 273,350 : x
  2. Step 2: Convert to fraction form
    177,860/273,350 = 273,350/x
  3. Step 3: Cross multiply
    177,860x = 273,350 × 273,350
  4. Step 4: Simplify right side
    177,860x = 74,720,222,500
  5. Step 5: Solve for x
    x = 74,720,222,500/177,860
  6. Step 6: Final answer
    x = 420,106.95

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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.