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Finding the Third Proportional to 221,248 and 343,158

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Solution

The third proportional to 221,248 and 343,158 is: 532,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,248 : 343,158 = 343,158 : x
  2. Step 2: Convert to fraction form
    221,248/343,158 = 343,158/x
  3. Step 3: Cross multiply
    221,248x = 343,158 × 343,158
  4. Step 4: Simplify right side
    221,248x = 117,757,412,964
  5. Step 5: Solve for x
    x = 117,757,412,964/221,248
  6. Step 6: Final answer
    x = 532,241.71

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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.