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Finding the Third Proportional to 77,911.88 and 171,713.67

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Solution

The third proportional to 77,911.88 and 171,713.67 is: 378,447.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,911.88 : 171,713.67 = 171,713.67 : x
  2. Step 2: Convert to fraction form
    77,911.88/171,713.67 = 171,713.67/x
  3. Step 3: Cross multiply
    77,911.88x = 171,713.67 × 171,713.67
  4. Step 4: Simplify right side
    77,911.88x = 29,485,585,108.80
  5. Step 5: Solve for x
    x = 29,485,585,108.80/77,911.88
  6. Step 6: Final answer
    x = 378,447.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.