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Finding the Third Proportional to 278,304 and 606,600

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Solution

The third proportional to 278,304 and 606,600 is: 1,322,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,304 : 606,600 = 606,600 : x
  2. Step 2: Convert to fraction form
    278,304/606,600 = 606,600/x
  3. Step 3: Cross multiply
    278,304x = 606,600 × 606,600
  4. Step 4: Simplify right side
    278,304x = 367,963,560,000
  5. Step 5: Solve for x
    x = 367,963,560,000/278,304
  6. Step 6: Final answer
    x = 1,322,164.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.