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Finding the Third Proportional to 80,387 and 118,257

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Solution

The third proportional to 80,387 and 118,257 is: 173,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387 : 118,257 = 118,257 : x
  2. Step 2: Convert to fraction form
    80,387/118,257 = 118,257/x
  3. Step 3: Cross multiply
    80,387x = 118,257 × 118,257
  4. Step 4: Simplify right side
    80,387x = 13,984,718,049
  5. Step 5: Solve for x
    x = 13,984,718,049/80,387
  6. Step 6: Final answer
    x = 173,967.41

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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.