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Finding the Third Proportional to 221,241 and 340,256

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Solution

The third proportional to 221,241 and 340,256 is: 523,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,241 : 340,256 = 340,256 : x
  2. Step 2: Convert to fraction form
    221,241/340,256 = 340,256/x
  3. Step 3: Cross multiply
    221,241x = 340,256 × 340,256
  4. Step 4: Simplify right side
    221,241x = 115,774,145,536
  5. Step 5: Solve for x
    x = 115,774,145,536/221,241
  6. Step 6: Final answer
    x = 523,294.26

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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.