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Finding the Third Proportional to 221,252 and 343,164

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Solution

The third proportional to 221,252 and 343,164 is: 532,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,252 : 343,164 = 343,164 : x
  2. Step 2: Convert to fraction form
    221,252/343,164 = 343,164/x
  3. Step 3: Cross multiply
    221,252x = 343,164 × 343,164
  4. Step 4: Simplify right side
    221,252x = 117,761,530,896
  5. Step 5: Solve for x
    x = 117,761,530,896/221,252
  6. Step 6: Final answer
    x = 532,250.70

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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.