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Finding the Third Proportional to 180,336.38 and 280,348.59

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Solution

The third proportional to 180,336.38 and 280,348.59 is: 435,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,336.38 : 280,348.59 = 280,348.59 : x
  2. Step 2: Convert to fraction form
    180,336.38/280,348.59 = 280,348.59/x
  3. Step 3: Cross multiply
    180,336.38x = 280,348.59 × 280,348.59
  4. Step 4: Simplify right side
    180,336.38x = 78,595,334,017.60
  5. Step 5: Solve for x
    x = 78,595,334,017.60/180,336.38
  6. Step 6: Final answer
    x = 435,826.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.