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Finding the Third Proportional to 278,724 and 420,698

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Solution

The third proportional to 278,724 and 420,698 is: 634,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,724 : 420,698 = 420,698 : x
  2. Step 2: Convert to fraction form
    278,724/420,698 = 420,698/x
  3. Step 3: Cross multiply
    278,724x = 420,698 × 420,698
  4. Step 4: Simplify right side
    278,724x = 176,986,807,204
  5. Step 5: Solve for x
    x = 176,986,807,204/278,724
  6. Step 6: Final answer
    x = 634,989.48

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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.