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Finding the Third Proportional to 218,098 and 328,239

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Solution

The third proportional to 218,098 and 328,239 is: 494,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098 : 328,239 = 328,239 : x
  2. Step 2: Convert to fraction form
    218,098/328,239 = 328,239/x
  3. Step 3: Cross multiply
    218,098x = 328,239 × 328,239
  4. Step 4: Simplify right side
    218,098x = 107,740,841,121
  5. Step 5: Solve for x
    x = 107,740,841,121/218,098
  6. Step 6: Final answer
    x = 494,001.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.