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Finding the Third Proportional to 206,304 and 278,352

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Solution

The third proportional to 206,304 and 278,352 is: 375,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,304 : 278,352 = 278,352 : x
  2. Step 2: Convert to fraction form
    206,304/278,352 = 278,352/x
  3. Step 3: Cross multiply
    206,304x = 278,352 × 278,352
  4. Step 4: Simplify right side
    206,304x = 77,479,835,904
  5. Step 5: Solve for x
    x = 77,479,835,904/206,304
  6. Step 6: Final answer
    x = 375,561.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.