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Finding the Third Proportional to 217,410 and 250,218

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Solution

The third proportional to 217,410 and 250,218 is: 287,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,410 : 250,218 = 250,218 : x
  2. Step 2: Convert to fraction form
    217,410/250,218 = 250,218/x
  3. Step 3: Cross multiply
    217,410x = 250,218 × 250,218
  4. Step 4: Simplify right side
    217,410x = 62,609,047,524
  5. Step 5: Solve for x
    x = 62,609,047,524/217,410
  6. Step 6: Final answer
    x = 287,976.85

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.