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Finding the Third Proportional to 80,503 and 118,292

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Solution

The third proportional to 80,503 and 118,292 is: 173,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,503 : 118,292 = 118,292 : x
  2. Step 2: Convert to fraction form
    80,503/118,292 = 118,292/x
  3. Step 3: Cross multiply
    80,503x = 118,292 × 118,292
  4. Step 4: Simplify right side
    80,503x = 13,992,997,264
  5. Step 5: Solve for x
    x = 13,992,997,264/80,503
  6. Step 6: Final answer
    x = 173,819.58

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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.