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Finding the Third Proportional to 222,236 and 344,158

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Solution

The third proportional to 222,236 and 344,158 is: 532,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,236 : 344,158 = 344,158 : x
  2. Step 2: Convert to fraction form
    222,236/344,158 = 344,158/x
  3. Step 3: Cross multiply
    222,236x = 344,158 × 344,158
  4. Step 4: Simplify right side
    222,236x = 118,444,728,964
  5. Step 5: Solve for x
    x = 118,444,728,964/222,236
  6. Step 6: Final answer
    x = 532,968.24

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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.