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Finding the Third Proportional to 118,695.38 and 280,194.19

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Solution

The third proportional to 118,695.38 and 280,194.19 is: 661,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,695.38 : 280,194.19 = 280,194.19 : x
  2. Step 2: Convert to fraction form
    118,695.38/280,194.19 = 280,194.19/x
  3. Step 3: Cross multiply
    118,695.38x = 280,194.19 × 280,194.19
  4. Step 4: Simplify right side
    118,695.38x = 78,508,782,708.79
  5. Step 5: Solve for x
    x = 78,508,782,708.79/118,695.38
  6. Step 6: Final answer
    x = 661,430.85

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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.