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Finding the Third Proportional to 83,312 and 129,039

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Solution

The third proportional to 83,312 and 129,039 is: 199,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,312 : 129,039 = 129,039 : x
  2. Step 2: Convert to fraction form
    83,312/129,039 = 129,039/x
  3. Step 3: Cross multiply
    83,312x = 129,039 × 129,039
  4. Step 4: Simplify right side
    83,312x = 16,651,063,521
  5. Step 5: Solve for x
    x = 16,651,063,521/83,312
  6. Step 6: Final answer
    x = 199,863.93

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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.