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Finding the Third Proportional to 218,408 and 293,494

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Solution

The third proportional to 218,408 and 293,494 is: 394,393.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,408 : 293,494 = 293,494 : x
  2. Step 2: Convert to fraction form
    218,408/293,494 = 293,494/x
  3. Step 3: Cross multiply
    218,408x = 293,494 × 293,494
  4. Step 4: Simplify right side
    218,408x = 86,138,728,036
  5. Step 5: Solve for x
    x = 86,138,728,036/218,408
  6. Step 6: Final answer
    x = 394,393.65

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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.