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Finding the Third Proportional to 83,295 and 129,012.75

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Solution

The third proportional to 83,295 and 129,012.75 is: 199,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295 : 129,012.75 = 129,012.75 : x
  2. Step 2: Convert to fraction form
    83,295/129,012.75 = 129,012.75/x
  3. Step 3: Cross multiply
    83,295x = 129,012.75 × 129,012.75
  4. Step 4: Simplify right side
    83,295x = 16,644,289,662.56
  5. Step 5: Solve for x
    x = 16,644,289,662.56/83,295
  6. Step 6: Final answer
    x = 199,823.39

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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.