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Finding the Third Proportional to 198,304 and 406,272

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Solution

The third proportional to 198,304 and 406,272 is: 832,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,304 : 406,272 = 406,272 : x
  2. Step 2: Convert to fraction form
    198,304/406,272 = 406,272/x
  3. Step 3: Cross multiply
    198,304x = 406,272 × 406,272
  4. Step 4: Simplify right side
    198,304x = 165,056,937,984
  5. Step 5: Solve for x
    x = 165,056,937,984/198,304
  6. Step 6: Final answer
    x = 832,342.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.