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Finding the Third Proportional to 39,879 and 55,903.50

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Solution

The third proportional to 39,879 and 55,903.50 is: 78,367.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,879 : 55,903.50 = 55,903.50 : x
  2. Step 2: Convert to fraction form
    39,879/55,903.50 = 55,903.50/x
  3. Step 3: Cross multiply
    39,879x = 55,903.50 × 55,903.50
  4. Step 4: Simplify right side
    39,879x = 3,125,201,312.25
  5. Step 5: Solve for x
    x = 3,125,201,312.25/39,879
  6. Step 6: Final answer
    x = 78,367.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.