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Finding the Third Proportional to 77,091.75 and 110,101.78

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Solution

The third proportional to 77,091.75 and 110,101.78 is: 157,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,091.75 : 110,101.78 = 110,101.78 : x
  2. Step 2: Convert to fraction form
    77,091.75/110,101.78 = 110,101.78/x
  3. Step 3: Cross multiply
    77,091.75x = 110,101.78 × 110,101.78
  4. Step 4: Simplify right side
    77,091.75x = 12,122,402,234.42
  5. Step 5: Solve for x
    x = 12,122,402,234.42/77,091.75
  6. Step 6: Final answer
    x = 157,246.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.