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Finding the Third Proportional to 118,612 and 283,516

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Solution

The third proportional to 118,612 and 283,516 is: 677,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,612 : 283,516 = 283,516 : x
  2. Step 2: Convert to fraction form
    118,612/283,516 = 283,516/x
  3. Step 3: Cross multiply
    118,612x = 283,516 × 283,516
  4. Step 4: Simplify right side
    118,612x = 80,381,322,256
  5. Step 5: Solve for x
    x = 80,381,322,256/118,612
  6. Step 6: Final answer
    x = 677,682.88

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.