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Finding the Third Proportional to 77,724.75 and 120,022.50

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Solution

The third proportional to 77,724.75 and 120,022.50 is: 185,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,724.75 : 120,022.50 = 120,022.50 : x
  2. Step 2: Convert to fraction form
    77,724.75/120,022.50 = 120,022.50/x
  3. Step 3: Cross multiply
    77,724.75x = 120,022.50 × 120,022.50
  4. Step 4: Simplify right side
    77,724.75x = 14,405,400,506.25
  5. Step 5: Solve for x
    x = 14,405,400,506.25/77,724.75
  6. Step 6: Final answer
    x = 185,338.65

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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.