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Finding the Third Proportional to 39,777.75 and 52,278.75

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Solution

The third proportional to 39,777.75 and 52,278.75 is: 68,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,777.75 : 52,278.75 = 52,278.75 : x
  2. Step 2: Convert to fraction form
    39,777.75/52,278.75 = 52,278.75/x
  3. Step 3: Cross multiply
    39,777.75x = 52,278.75 × 52,278.75
  4. Step 4: Simplify right side
    39,777.75x = 2,733,067,701.56
  5. Step 5: Solve for x
    x = 2,733,067,701.56/39,777.75
  6. Step 6: Final answer
    x = 68,708.45

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.