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Finding the Third Proportional to 136,193 and 299,257

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Solution

The third proportional to 136,193 and 299,257 is: 657,557.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,193 : 299,257 = 299,257 : x
  2. Step 2: Convert to fraction form
    136,193/299,257 = 299,257/x
  3. Step 3: Cross multiply
    136,193x = 299,257 × 299,257
  4. Step 4: Simplify right side
    136,193x = 89,554,752,049
  5. Step 5: Solve for x
    x = 89,554,752,049/136,193
  6. Step 6: Final answer
    x = 657,557.67

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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.