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Finding the Third Proportional to 137,679 and 291,874

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Solution

The third proportional to 137,679 and 291,874 is: 618,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679 : 291,874 = 291,874 : x
  2. Step 2: Convert to fraction form
    137,679/291,874 = 291,874/x
  3. Step 3: Cross multiply
    137,679x = 291,874 × 291,874
  4. Step 4: Simplify right side
    137,679x = 85,190,431,876
  5. Step 5: Solve for x
    x = 85,190,431,876/137,679
  6. Step 6: Final answer
    x = 618,761.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.