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Finding the Third Proportional to 217,952 and 328,184

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Solution

The third proportional to 217,952 and 328,184 is: 494,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,952 : 328,184 = 328,184 : x
  2. Step 2: Convert to fraction form
    217,952/328,184 = 328,184/x
  3. Step 3: Cross multiply
    217,952x = 328,184 × 328,184
  4. Step 4: Simplify right side
    217,952x = 107,704,737,856
  5. Step 5: Solve for x
    x = 107,704,737,856/217,952
  6. Step 6: Final answer
    x = 494,167.24

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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.