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Finding the Third Proportional to 129,962 and 270,136

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Solution

The third proportional to 129,962 and 270,136 is: 561,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,962 : 270,136 = 270,136 : x
  2. Step 2: Convert to fraction form
    129,962/270,136 = 270,136/x
  3. Step 3: Cross multiply
    129,962x = 270,136 × 270,136
  4. Step 4: Simplify right side
    129,962x = 72,973,458,496
  5. Step 5: Solve for x
    x = 72,973,458,496/129,962
  6. Step 6: Final answer
    x = 561,498.43

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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.