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Finding the Third Proportional to 349,117 and 815,874

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Solution

The third proportional to 349,117 and 815,874 is: 1,906,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,117 : 815,874 = 815,874 : x
  2. Step 2: Convert to fraction form
    349,117/815,874 = 815,874/x
  3. Step 3: Cross multiply
    349,117x = 815,874 × 815,874
  4. Step 4: Simplify right side
    349,117x = 665,650,383,876
  5. Step 5: Solve for x
    x = 665,650,383,876/349,117
  6. Step 6: Final answer
    x = 1,906,668.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.