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Finding the Third Proportional to 278,840 and 598,156

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Solution

The third proportional to 278,840 and 598,156 is: 1,283,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,840 : 598,156 = 598,156 : x
  2. Step 2: Convert to fraction form
    278,840/598,156 = 598,156/x
  3. Step 3: Cross multiply
    278,840x = 598,156 × 598,156
  4. Step 4: Simplify right side
    278,840x = 357,790,600,336
  5. Step 5: Solve for x
    x = 357,790,600,336/278,840
  6. Step 6: Final answer
    x = 1,283,139.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.