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Finding the Third Proportional to 222,912 and 487,296

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Solution

The third proportional to 222,912 and 487,296 is: 1,065,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,912 : 487,296 = 487,296 : x
  2. Step 2: Convert to fraction form
    222,912/487,296 = 487,296/x
  3. Step 3: Cross multiply
    222,912x = 487,296 × 487,296
  4. Step 4: Simplify right side
    222,912x = 237,457,391,616
  5. Step 5: Solve for x
    x = 237,457,391,616/222,912
  6. Step 6: Final answer
    x = 1,065,251.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.