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Finding the Third Proportional to 39,785 and 55,771.50

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Solution

The third proportional to 39,785 and 55,771.50 is: 78,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,785 : 55,771.50 = 55,771.50 : x
  2. Step 2: Convert to fraction form
    39,785/55,771.50 = 55,771.50/x
  3. Step 3: Cross multiply
    39,785x = 55,771.50 × 55,771.50
  4. Step 4: Simplify right side
    39,785x = 3,110,460,212.25
  5. Step 5: Solve for x
    x = 3,110,460,212.25/39,785
  6. Step 6: Final answer
    x = 78,181.73

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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.