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Finding the Third Proportional to 77,952.75 and 125,540.44

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Solution

The third proportional to 77,952.75 and 125,540.44 is: 202,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,952.75 : 125,540.44 = 125,540.44 : x
  2. Step 2: Convert to fraction form
    77,952.75/125,540.44 = 125,540.44/x
  3. Step 3: Cross multiply
    77,952.75x = 125,540.44 × 125,540.44
  4. Step 4: Simplify right side
    77,952.75x = 15,760,401,447.69
  5. Step 5: Solve for x
    x = 15,760,401,447.69/77,952.75
  6. Step 6: Final answer
    x = 202,178.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.