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Finding the Third Proportional to 221,519.81 and 334,309.78

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Solution

The third proportional to 221,519.81 and 334,309.78 is: 504,528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,519.81 : 334,309.78 = 334,309.78 : x
  2. Step 2: Convert to fraction form
    221,519.81/334,309.78 = 334,309.78/x
  3. Step 3: Cross multiply
    221,519.81x = 334,309.78 × 334,309.78
  4. Step 4: Simplify right side
    221,519.81x = 111,763,029,839.42
  5. Step 5: Solve for x
    x = 111,763,029,839.42/221,519.81
  6. Step 6: Final answer
    x = 504,528.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.