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Finding the Third Proportional to 278,214 and 418,617

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Solution

The third proportional to 278,214 and 418,617 is: 629,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,214 : 418,617 = 418,617 : x
  2. Step 2: Convert to fraction form
    278,214/418,617 = 418,617/x
  3. Step 3: Cross multiply
    278,214x = 418,617 × 418,617
  4. Step 4: Simplify right side
    278,214x = 175,240,192,689
  5. Step 5: Solve for x
    x = 175,240,192,689/278,214
  6. Step 6: Final answer
    x = 629,875.54

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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.