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Finding the Third Proportional to 221,755 and 341,243

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Solution

The third proportional to 221,755 and 341,243 is: 525,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,755 : 341,243 = 341,243 : x
  2. Step 2: Convert to fraction form
    221,755/341,243 = 341,243/x
  3. Step 3: Cross multiply
    221,755x = 341,243 × 341,243
  4. Step 4: Simplify right side
    221,755x = 116,446,785,049
  5. Step 5: Solve for x
    x = 116,446,785,049/221,755
  6. Step 6: Final answer
    x = 525,114.59

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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.