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Finding the Third Proportional to 98,858 and 217,394

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Solution

The third proportional to 98,858 and 217,394 is: 478,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,858 : 217,394 = 217,394 : x
  2. Step 2: Convert to fraction form
    98,858/217,394 = 217,394/x
  3. Step 3: Cross multiply
    98,858x = 217,394 × 217,394
  4. Step 4: Simplify right side
    98,858x = 47,260,151,236
  5. Step 5: Solve for x
    x = 47,260,151,236/98,858
  6. Step 6: Final answer
    x = 478,060.97

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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.