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Finding the Third Proportional to 222,916 and 338,640

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Solution

The third proportional to 222,916 and 338,640 is: 514,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,916 : 338,640 = 338,640 : x
  2. Step 2: Convert to fraction form
    222,916/338,640 = 338,640/x
  3. Step 3: Cross multiply
    222,916x = 338,640 × 338,640
  4. Step 4: Simplify right side
    222,916x = 114,677,049,600
  5. Step 5: Solve for x
    x = 114,677,049,600/222,916
  6. Step 6: Final answer
    x = 514,440.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.