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Finding the Third Proportional to 218,400 and 293,482

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Solution

The third proportional to 218,400 and 293,482 is: 394,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,400 : 293,482 = 293,482 : x
  2. Step 2: Convert to fraction form
    218,400/293,482 = 293,482/x
  3. Step 3: Cross multiply
    218,400x = 293,482 × 293,482
  4. Step 4: Simplify right side
    218,400x = 86,131,684,324
  5. Step 5: Solve for x
    x = 86,131,684,324/218,400
  6. Step 6: Final answer
    x = 394,375.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.