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Finding the Third Proportional to 218,716 and 475,376

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Solution

The third proportional to 218,716 and 475,376 is: 1,033,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,716 : 475,376 = 475,376 : x
  2. Step 2: Convert to fraction form
    218,716/475,376 = 475,376/x
  3. Step 3: Cross multiply
    218,716x = 475,376 × 475,376
  4. Step 4: Simplify right side
    218,716x = 225,982,341,376
  5. Step 5: Solve for x
    x = 225,982,341,376/218,716
  6. Step 6: Final answer
    x = 1,033,222.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.