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Finding the Third Proportional to 83,447 and 129,131

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Solution

The third proportional to 83,447 and 129,131 is: 199,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447 : 129,131 = 129,131 : x
  2. Step 2: Convert to fraction form
    83,447/129,131 = 129,131/x
  3. Step 3: Cross multiply
    83,447x = 129,131 × 129,131
  4. Step 4: Simplify right side
    83,447x = 16,674,815,161
  5. Step 5: Solve for x
    x = 16,674,815,161/83,447
  6. Step 6: Final answer
    x = 199,825.22

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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.