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Finding the Third Proportional to 62,831 and 136,721

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Solution

The third proportional to 62,831 and 136,721 is: 297,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,831 : 136,721 = 136,721 : x
  2. Step 2: Convert to fraction form
    62,831/136,721 = 136,721/x
  3. Step 3: Cross multiply
    62,831x = 136,721 × 136,721
  4. Step 4: Simplify right side
    62,831x = 18,692,631,841
  5. Step 5: Solve for x
    x = 18,692,631,841/62,831
  6. Step 6: Final answer
    x = 297,506.51

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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.