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Finding the Third Proportional to 98,864 and 217,406

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Solution

The third proportional to 98,864 and 217,406 is: 478,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,864 : 217,406 = 217,406 : x
  2. Step 2: Convert to fraction form
    98,864/217,406 = 217,406/x
  3. Step 3: Cross multiply
    98,864x = 217,406 × 217,406
  4. Step 4: Simplify right side
    98,864x = 47,265,368,836
  5. Step 5: Solve for x
    x = 47,265,368,836/98,864
  6. Step 6: Final answer
    x = 478,084.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.