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Finding the Third Proportional to 118,508 and 279,742

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Solution

The third proportional to 118,508 and 279,742 is: 660,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,508 : 279,742 = 279,742 : x
  2. Step 2: Convert to fraction form
    118,508/279,742 = 279,742/x
  3. Step 3: Cross multiply
    118,508x = 279,742 × 279,742
  4. Step 4: Simplify right side
    118,508x = 78,255,586,564
  5. Step 5: Solve for x
    x = 78,255,586,564/118,508
  6. Step 6: Final answer
    x = 660,340.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.