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Finding the Third Proportional to 98,120 and 218,446

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Solution

The third proportional to 98,120 and 218,446 is: 486,329.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,120 : 218,446 = 218,446 : x
  2. Step 2: Convert to fraction form
    98,120/218,446 = 218,446/x
  3. Step 3: Cross multiply
    98,120x = 218,446 × 218,446
  4. Step 4: Simplify right side
    98,120x = 47,718,654,916
  5. Step 5: Solve for x
    x = 47,718,654,916/98,120
  6. Step 6: Final answer
    x = 486,329.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.