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Finding the Third Proportional to 222,044 and 343,676

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Solution

The third proportional to 222,044 and 343,676 is: 531,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,044 : 343,676 = 343,676 : x
  2. Step 2: Convert to fraction form
    222,044/343,676 = 343,676/x
  3. Step 3: Cross multiply
    222,044x = 343,676 × 343,676
  4. Step 4: Simplify right side
    222,044x = 118,113,192,976
  5. Step 5: Solve for x
    x = 118,113,192,976/222,044
  6. Step 6: Final answer
    x = 531,935.98

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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.