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Finding the Third Proportional to 136,207 and 299,279

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Solution

The third proportional to 136,207 and 299,279 is: 657,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,207 : 299,279 = 299,279 : x
  2. Step 2: Convert to fraction form
    136,207/299,279 = 299,279/x
  3. Step 3: Cross multiply
    136,207x = 299,279 × 299,279
  4. Step 4: Simplify right side
    136,207x = 89,567,919,841
  5. Step 5: Solve for x
    x = 89,567,919,841/136,207
  6. Step 6: Final answer
    x = 657,586.76

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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.