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Finding the Third Proportional to 40,189 and 87,297.50

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Solution

The third proportional to 40,189 and 87,297.50 is: 189,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,189 : 87,297.50 = 87,297.50 : x
  2. Step 2: Convert to fraction form
    40,189/87,297.50 = 87,297.50/x
  3. Step 3: Cross multiply
    40,189x = 87,297.50 × 87,297.50
  4. Step 4: Simplify right side
    40,189x = 7,620,853,506.25
  5. Step 5: Solve for x
    x = 7,620,853,506.25/40,189
  6. Step 6: Final answer
    x = 189,625.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.