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Finding the Third Proportional to 217,542 and 336,180

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Solution

The third proportional to 217,542 and 336,180 is: 519,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,542 : 336,180 = 336,180 : x
  2. Step 2: Convert to fraction form
    217,542/336,180 = 336,180/x
  3. Step 3: Cross multiply
    217,542x = 336,180 × 336,180
  4. Step 4: Simplify right side
    217,542x = 113,016,992,400
  5. Step 5: Solve for x
    x = 113,016,992,400/217,542
  6. Step 6: Final answer
    x = 519,518.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.