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Finding the Third Proportional to 278,723 and 420,697

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Solution

The third proportional to 278,723 and 420,697 is: 634,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,723 : 420,697 = 420,697 : x
  2. Step 2: Convert to fraction form
    278,723/420,697 = 420,697/x
  3. Step 3: Cross multiply
    278,723x = 420,697 × 420,697
  4. Step 4: Simplify right side
    278,723x = 176,985,965,809
  5. Step 5: Solve for x
    x = 176,985,965,809/278,723
  6. Step 6: Final answer
    x = 634,988.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.