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Finding the Third Proportional to 136,231 and 296,983

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Solution

The third proportional to 136,231 and 296,983 is: 647,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,231 : 296,983 = 296,983 : x
  2. Step 2: Convert to fraction form
    136,231/296,983 = 296,983/x
  3. Step 3: Cross multiply
    136,231x = 296,983 × 296,983
  4. Step 4: Simplify right side
    136,231x = 88,198,902,289
  5. Step 5: Solve for x
    x = 88,198,902,289/136,231
  6. Step 6: Final answer
    x = 647,421.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.