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Finding the Third Proportional to 80,385 and 118,255

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Solution

The third proportional to 80,385 and 118,255 is: 173,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,385 : 118,255 = 118,255 : x
  2. Step 2: Convert to fraction form
    80,385/118,255 = 118,255/x
  3. Step 3: Cross multiply
    80,385x = 118,255 × 118,255
  4. Step 4: Simplify right side
    80,385x = 13,984,245,025
  5. Step 5: Solve for x
    x = 13,984,245,025/80,385
  6. Step 6: Final answer
    x = 173,965.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.