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Finding the Third Proportional to 53,678 and 80,882

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Solution

The third proportional to 53,678 and 80,882 is: 121,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,678 : 80,882 = 80,882 : x
  2. Step 2: Convert to fraction form
    53,678/80,882 = 80,882/x
  3. Step 3: Cross multiply
    53,678x = 80,882 × 80,882
  4. Step 4: Simplify right side
    53,678x = 6,541,897,924
  5. Step 5: Solve for x
    x = 6,541,897,924/53,678
  6. Step 6: Final answer
    x = 121,872.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.