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Finding the Third Proportional to 217,872 and 336,578

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Solution

The third proportional to 217,872 and 336,578 is: 519,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,872 : 336,578 = 336,578 : x
  2. Step 2: Convert to fraction form
    217,872/336,578 = 336,578/x
  3. Step 3: Cross multiply
    217,872x = 336,578 × 336,578
  4. Step 4: Simplify right side
    217,872x = 113,284,750,084
  5. Step 5: Solve for x
    x = 113,284,750,084/217,872
  6. Step 6: Final answer
    x = 519,960.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.