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Finding the Third Proportional to 221,809.50 and 487,899

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Solution

The third proportional to 221,809.50 and 487,899 is: 1,073,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,809.50 : 487,899 = 487,899 : x
  2. Step 2: Convert to fraction form
    221,809.50/487,899 = 487,899/x
  3. Step 3: Cross multiply
    221,809.50x = 487,899 × 487,899
  4. Step 4: Simplify right side
    221,809.50x = 238,045,434,201
  5. Step 5: Solve for x
    x = 238,045,434,201/221,809.50
  6. Step 6: Final answer
    x = 1,073,197.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.