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Finding the Third Proportional to 129,312 and 200,694

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Solution

The third proportional to 129,312 and 200,694 is: 311,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,312 : 200,694 = 200,694 : x
  2. Step 2: Convert to fraction form
    129,312/200,694 = 200,694/x
  3. Step 3: Cross multiply
    129,312x = 200,694 × 200,694
  4. Step 4: Simplify right side
    129,312x = 40,278,081,636
  5. Step 5: Solve for x
    x = 40,278,081,636/129,312
  6. Step 6: Final answer
    x = 311,479.84

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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.