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Finding the Third Proportional to 217,408 and 328,416

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Solution

The third proportional to 217,408 and 328,416 is: 496,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,408 : 328,416 = 328,416 : x
  2. Step 2: Convert to fraction form
    217,408/328,416 = 328,416/x
  3. Step 3: Cross multiply
    217,408x = 328,416 × 328,416
  4. Step 4: Simplify right side
    217,408x = 107,857,069,056
  5. Step 5: Solve for x
    x = 107,857,069,056/217,408
  6. Step 6: Final answer
    x = 496,104.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.