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Finding the Third Proportional to 136,165 and 299,206

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Solution

The third proportional to 136,165 and 299,206 is: 657,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,165 : 299,206 = 299,206 : x
  2. Step 2: Convert to fraction form
    136,165/299,206 = 299,206/x
  3. Step 3: Cross multiply
    136,165x = 299,206 × 299,206
  4. Step 4: Simplify right side
    136,165x = 89,524,230,436
  5. Step 5: Solve for x
    x = 89,524,230,436/136,165
  6. Step 6: Final answer
    x = 657,468.74

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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.