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Finding the Third Proportional to 143,361 and 221,609

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Solution

The third proportional to 143,361 and 221,609 is: 342,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,361 : 221,609 = 221,609 : x
  2. Step 2: Convert to fraction form
    143,361/221,609 = 221,609/x
  3. Step 3: Cross multiply
    143,361x = 221,609 × 221,609
  4. Step 4: Simplify right side
    143,361x = 49,110,548,881
  5. Step 5: Solve for x
    x = 49,110,548,881/143,361
  6. Step 6: Final answer
    x = 342,565.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.