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Finding the Third Proportional to 39,721.64 and 55,684.97

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Solution

The third proportional to 39,721.64 and 55,684.97 is: 78,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,721.64 : 55,684.97 = 55,684.97 : x
  2. Step 2: Convert to fraction form
    39,721.64/55,684.97 = 55,684.97/x
  3. Step 3: Cross multiply
    39,721.64x = 55,684.97 × 55,684.97
  4. Step 4: Simplify right side
    39,721.64x = 3,100,815,744.69
  5. Step 5: Solve for x
    x = 3,100,815,744.69/39,721.64
  6. Step 6: Final answer
    x = 78,063.64

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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.