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Finding the Third Proportional to 77,796 and 120,147.75

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Solution

The third proportional to 77,796 and 120,147.75 is: 185,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,796 : 120,147.75 = 120,147.75 : x
  2. Step 2: Convert to fraction form
    77,796/120,147.75 = 120,147.75/x
  3. Step 3: Cross multiply
    77,796x = 120,147.75 × 120,147.75
  4. Step 4: Simplify right side
    77,796x = 14,435,481,830.06
  5. Step 5: Solve for x
    x = 14,435,481,830.06/77,796
  6. Step 6: Final answer
    x = 185,555.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.