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Finding the Third Proportional to 61,816 and 135,296

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Solution

The third proportional to 61,816 and 135,296 is: 296,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,816 : 135,296 = 135,296 : x
  2. Step 2: Convert to fraction form
    61,816/135,296 = 135,296/x
  3. Step 3: Cross multiply
    61,816x = 135,296 × 135,296
  4. Step 4: Simplify right side
    61,816x = 18,305,007,616
  5. Step 5: Solve for x
    x = 18,305,007,616/61,816
  6. Step 6: Final answer
    x = 296,120.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.