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Finding the Third Proportional to 129,640 and 279,512

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Solution

The third proportional to 129,640 and 279,512 is: 602,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640 : 279,512 = 279,512 : x
  2. Step 2: Convert to fraction form
    129,640/279,512 = 279,512/x
  3. Step 3: Cross multiply
    129,640x = 279,512 × 279,512
  4. Step 4: Simplify right side
    129,640x = 78,126,958,144
  5. Step 5: Solve for x
    x = 78,126,958,144/129,640
  6. Step 6: Final answer
    x = 602,645.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.