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Finding the Third Proportional to 39,852 and 87,115.50

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Solution

The third proportional to 39,852 and 87,115.50 is: 190,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,852 : 87,115.50 = 87,115.50 : x
  2. Step 2: Convert to fraction form
    39,852/87,115.50 = 87,115.50/x
  3. Step 3: Cross multiply
    39,852x = 87,115.50 × 87,115.50
  4. Step 4: Simplify right side
    39,852x = 7,589,110,340.25
  5. Step 5: Solve for x
    x = 7,589,110,340.25/39,852
  6. Step 6: Final answer
    x = 190,432.36

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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.