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Finding the Third Proportional to 221,743 and 344,040

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Solution

The third proportional to 221,743 and 344,040 is: 533,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,743 : 344,040 = 344,040 : x
  2. Step 2: Convert to fraction form
    221,743/344,040 = 344,040/x
  3. Step 3: Cross multiply
    221,743x = 344,040 × 344,040
  4. Step 4: Simplify right side
    221,743x = 118,363,521,600
  5. Step 5: Solve for x
    x = 118,363,521,600/221,743
  6. Step 6: Final answer
    x = 533,786.96

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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.