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Finding the Third Proportional to 83,370 and 129,102

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Solution

The third proportional to 83,370 and 129,102 is: 199,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,370 : 129,102 = 129,102 : x
  2. Step 2: Convert to fraction form
    83,370/129,102 = 129,102/x
  3. Step 3: Cross multiply
    83,370x = 129,102 × 129,102
  4. Step 4: Simplify right side
    83,370x = 16,667,326,404
  5. Step 5: Solve for x
    x = 16,667,326,404/83,370
  6. Step 6: Final answer
    x = 199,919.95

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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.