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Finding the Third Proportional to 221,679 and 334,847

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Solution

The third proportional to 221,679 and 334,847 is: 505,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,679 : 334,847 = 334,847 : x
  2. Step 2: Convert to fraction form
    221,679/334,847 = 334,847/x
  3. Step 3: Cross multiply
    221,679x = 334,847 × 334,847
  4. Step 4: Simplify right side
    221,679x = 112,122,513,409
  5. Step 5: Solve for x
    x = 112,122,513,409/221,679
  6. Step 6: Final answer
    x = 505,787.71

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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.