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Finding the Third Proportional to 278,314 and 418,751

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Solution

The third proportional to 278,314 and 418,751 is: 630,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,314 : 418,751 = 418,751 : x
  2. Step 2: Convert to fraction form
    278,314/418,751 = 418,751/x
  3. Step 3: Cross multiply
    278,314x = 418,751 × 418,751
  4. Step 4: Simplify right side
    278,314x = 175,352,400,001
  5. Step 5: Solve for x
    x = 175,352,400,001/278,314
  6. Step 6: Final answer
    x = 630,052.39

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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.