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Finding the Third Proportional to 152,478 and 217,845

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Solution

The third proportional to 152,478 and 217,845 is: 311,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,478 : 217,845 = 217,845 : x
  2. Step 2: Convert to fraction form
    152,478/217,845 = 217,845/x
  3. Step 3: Cross multiply
    152,478x = 217,845 × 217,845
  4. Step 4: Simplify right side
    152,478x = 47,456,444,025
  5. Step 5: Solve for x
    x = 47,456,444,025/152,478
  6. Step 6: Final answer
    x = 311,234.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.