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Finding the Third Proportional to 62,878 and 135,555

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Solution

The third proportional to 62,878 and 135,555 is: 292,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,878 : 135,555 = 135,555 : x
  2. Step 2: Convert to fraction form
    62,878/135,555 = 135,555/x
  3. Step 3: Cross multiply
    62,878x = 135,555 × 135,555
  4. Step 4: Simplify right side
    62,878x = 18,375,158,025
  5. Step 5: Solve for x
    x = 18,375,158,025/62,878
  6. Step 6: Final answer
    x = 292,235.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.