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Finding the Third Proportional to 98,655 and 217,418

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Solution

The third proportional to 98,655 and 217,418 is: 479,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,655 : 217,418 = 217,418 : x
  2. Step 2: Convert to fraction form
    98,655/217,418 = 217,418/x
  3. Step 3: Cross multiply
    98,655x = 217,418 × 217,418
  4. Step 4: Simplify right side
    98,655x = 47,270,586,724
  5. Step 5: Solve for x
    x = 47,270,586,724/98,655
  6. Step 6: Final answer
    x = 479,150.44

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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.