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Finding the Third Proportional to 213,247.50 and 420,480.75

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Solution

The third proportional to 213,247.50 and 420,480.75 is: 829,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,247.50 : 420,480.75 = 420,480.75 : x
  2. Step 2: Convert to fraction form
    213,247.50/420,480.75 = 420,480.75/x
  3. Step 3: Cross multiply
    213,247.50x = 420,480.75 × 420,480.75
  4. Step 4: Simplify right side
    213,247.50x = 176,804,061,120.56
  5. Step 5: Solve for x
    x = 176,804,061,120.56/213,247.50
  6. Step 6: Final answer
    x = 829,102.62

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.