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Finding the Third Proportional to 129,864 and 318,087

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Solution

The third proportional to 129,864 and 318,087 is: 779,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,864 : 318,087 = 318,087 : x
  2. Step 2: Convert to fraction form
    129,864/318,087 = 318,087/x
  3. Step 3: Cross multiply
    129,864x = 318,087 × 318,087
  4. Step 4: Simplify right side
    129,864x = 101,179,339,569
  5. Step 5: Solve for x
    x = 101,179,339,569/129,864
  6. Step 6: Final answer
    x = 779,117.69

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.