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Finding the Third Proportional to 217,947 and 328,176

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Solution

The third proportional to 217,947 and 328,176 is: 494,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,947 : 328,176 = 328,176 : x
  2. Step 2: Convert to fraction form
    217,947/328,176 = 328,176/x
  3. Step 3: Cross multiply
    217,947x = 328,176 × 328,176
  4. Step 4: Simplify right side
    217,947x = 107,699,486,976
  5. Step 5: Solve for x
    x = 107,699,486,976/217,947
  6. Step 6: Final answer
    x = 494,154.48

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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.