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Finding the Third Proportional to 83,333 and 129,068

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Solution

The third proportional to 83,333 and 129,068 is: 199,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,333 : 129,068 = 129,068 : x
  2. Step 2: Convert to fraction form
    83,333/129,068 = 129,068/x
  3. Step 3: Cross multiply
    83,333x = 129,068 × 129,068
  4. Step 4: Simplify right side
    83,333x = 16,658,548,624
  5. Step 5: Solve for x
    x = 16,658,548,624/83,333
  6. Step 6: Final answer
    x = 199,903.38

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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.