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Finding the Third Proportional to 278,160 and 418,536

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Solution

The third proportional to 278,160 and 418,536 is: 629,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,160 : 418,536 = 418,536 : x
  2. Step 2: Convert to fraction form
    278,160/418,536 = 418,536/x
  3. Step 3: Cross multiply
    278,160x = 418,536 × 418,536
  4. Step 4: Simplify right side
    278,160x = 175,172,383,296
  5. Step 5: Solve for x
    x = 175,172,383,296/278,160
  6. Step 6: Final answer
    x = 629,754.04

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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.