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Finding the Third Proportional to 221,850.75 and 485,674.50

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Solution

The third proportional to 221,850.75 and 485,674.50 is: 1,063,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,850.75 : 485,674.50 = 485,674.50 : x
  2. Step 2: Convert to fraction form
    221,850.75/485,674.50 = 485,674.50/x
  3. Step 3: Cross multiply
    221,850.75x = 485,674.50 × 485,674.50
  4. Step 4: Simplify right side
    221,850.75x = 235,879,719,950.25
  5. Step 5: Solve for x
    x = 235,879,719,950.25/221,850.75
  6. Step 6: Final answer
    x = 1,063,236.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.