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Finding the Third Proportional to 129,932 and 279,206

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Solution

The third proportional to 129,932 and 279,206 is: 599,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,932 : 279,206 = 279,206 : x
  2. Step 2: Convert to fraction form
    129,932/279,206 = 279,206/x
  3. Step 3: Cross multiply
    129,932x = 279,206 × 279,206
  4. Step 4: Simplify right side
    129,932x = 77,955,990,436
  5. Step 5: Solve for x
    x = 77,955,990,436/129,932
  6. Step 6: Final answer
    x = 599,975.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.