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Finding the Third Proportional to 278,599.50 and 391,473

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Solution

The third proportional to 278,599.50 and 391,473 is: 550,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,599.50 : 391,473 = 391,473 : x
  2. Step 2: Convert to fraction form
    278,599.50/391,473 = 391,473/x
  3. Step 3: Cross multiply
    278,599.50x = 391,473 × 391,473
  4. Step 4: Simplify right side
    278,599.50x = 153,251,109,729
  5. Step 5: Solve for x
    x = 153,251,109,729/278,599.50
  6. Step 6: Final answer
    x = 550,076.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.