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Finding the Third Proportional to 83,922 and 121,371

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Solution

The third proportional to 83,922 and 121,371 is: 175,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,922 : 121,371 = 121,371 : x
  2. Step 2: Convert to fraction form
    83,922/121,371 = 121,371/x
  3. Step 3: Cross multiply
    83,922x = 121,371 × 121,371
  4. Step 4: Simplify right side
    83,922x = 14,730,919,641
  5. Step 5: Solve for x
    x = 14,730,919,641/83,922
  6. Step 6: Final answer
    x = 175,531.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.