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Finding the Third Proportional to 85,338 and 135,648

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Solution

The third proportional to 85,338 and 135,648 is: 215,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,338 : 135,648 = 135,648 : x
  2. Step 2: Convert to fraction form
    85,338/135,648 = 135,648/x
  3. Step 3: Cross multiply
    85,338x = 135,648 × 135,648
  4. Step 4: Simplify right side
    85,338x = 18,400,379,904
  5. Step 5: Solve for x
    x = 18,400,379,904/85,338
  6. Step 6: Final answer
    x = 215,617.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.