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Finding the Third Proportional to 129,960 and 270,132

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Solution

The third proportional to 129,960 and 270,132 is: 561,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,960 : 270,132 = 270,132 : x
  2. Step 2: Convert to fraction form
    129,960/270,132 = 270,132/x
  3. Step 3: Cross multiply
    129,960x = 270,132 × 270,132
  4. Step 4: Simplify right side
    129,960x = 72,971,297,424
  5. Step 5: Solve for x
    x = 72,971,297,424/129,960
  6. Step 6: Final answer
    x = 561,490.44

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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.