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Finding the Third Proportional to 278,304 and 418,728

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Solution

The third proportional to 278,304 and 418,728 is: 630,005.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,304 : 418,728 = 418,728 : x
  2. Step 2: Convert to fraction form
    278,304/418,728 = 418,728/x
  3. Step 3: Cross multiply
    278,304x = 418,728 × 418,728
  4. Step 4: Simplify right side
    278,304x = 175,333,137,984
  5. Step 5: Solve for x
    x = 175,333,137,984/278,304
  6. Step 6: Final answer
    x = 630,005.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.