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Finding the Third Proportional to 98,644 and 217,396

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Solution

The third proportional to 98,644 and 217,396 is: 479,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,644 : 217,396 = 217,396 : x
  2. Step 2: Convert to fraction form
    98,644/217,396 = 217,396/x
  3. Step 3: Cross multiply
    98,644x = 217,396 × 217,396
  4. Step 4: Simplify right side
    98,644x = 47,261,020,816
  5. Step 5: Solve for x
    x = 47,261,020,816/98,644
  6. Step 6: Final answer
    x = 479,106.90

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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.