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Finding the Third Proportional to 129,034 and 269,894

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Solution

The third proportional to 129,034 and 269,894 is: 564,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,034 : 269,894 = 269,894 : x
  2. Step 2: Convert to fraction form
    129,034/269,894 = 269,894/x
  3. Step 3: Cross multiply
    129,034x = 269,894 × 269,894
  4. Step 4: Simplify right side
    129,034x = 72,842,771,236
  5. Step 5: Solve for x
    x = 72,842,771,236/129,034
  6. Step 6: Final answer
    x = 564,523.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.