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Finding the Third Proportional to 129,976 and 270,164

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Solution

The third proportional to 129,976 and 270,164 is: 561,554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,976 : 270,164 = 270,164 : x
  2. Step 2: Convert to fraction form
    129,976/270,164 = 270,164/x
  3. Step 3: Cross multiply
    129,976x = 270,164 × 270,164
  4. Step 4: Simplify right side
    129,976x = 72,988,586,896
  5. Step 5: Solve for x
    x = 72,988,586,896/129,976
  6. Step 6: Final answer
    x = 561,554.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.