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Finding the Third Proportional to 129,857 and 194,786

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Solution

The third proportional to 129,857 and 194,786 is: 292,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,857 : 194,786 = 194,786 : x
  2. Step 2: Convert to fraction form
    129,857/194,786 = 194,786/x
  3. Step 3: Cross multiply
    129,857x = 194,786 × 194,786
  4. Step 4: Simplify right side
    129,857x = 37,941,585,796
  5. Step 5: Solve for x
    x = 37,941,585,796/129,857
  6. Step 6: Final answer
    x = 292,179.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.