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Finding the Third Proportional to 221,373 and 340,321.50

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Solution

The third proportional to 221,373 and 340,321.50 is: 523,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,373 : 340,321.50 = 340,321.50 : x
  2. Step 2: Convert to fraction form
    221,373/340,321.50 = 340,321.50/x
  3. Step 3: Cross multiply
    221,373x = 340,321.50 × 340,321.50
  4. Step 4: Simplify right side
    221,373x = 115,818,723,362.25
  5. Step 5: Solve for x
    x = 115,818,723,362.25/221,373
  6. Step 6: Final answer
    x = 523,183.60

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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.