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Finding the Third Proportional to 78,286 and 121,269

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Solution

The third proportional to 78,286 and 121,269 is: 187,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286 : 121,269 = 121,269 : x
  2. Step 2: Convert to fraction form
    78,286/121,269 = 121,269/x
  3. Step 3: Cross multiply
    78,286x = 121,269 × 121,269
  4. Step 4: Simplify right side
    78,286x = 14,706,170,361
  5. Step 5: Solve for x
    x = 14,706,170,361/78,286
  6. Step 6: Final answer
    x = 187,851.86

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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.