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Finding the Third Proportional to 136,406 and 299,882

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Solution

The third proportional to 136,406 and 299,882 is: 659,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,406 : 299,882 = 299,882 : x
  2. Step 2: Convert to fraction form
    136,406/299,882 = 299,882/x
  3. Step 3: Cross multiply
    136,406x = 299,882 × 299,882
  4. Step 4: Simplify right side
    136,406x = 89,929,213,924
  5. Step 5: Solve for x
    x = 89,929,213,924/136,406
  6. Step 6: Final answer
    x = 659,276.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.