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Finding the Third Proportional to 138,962 and 221,296

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Solution

The third proportional to 138,962 and 221,296 is: 352,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,962 : 221,296 = 221,296 : x
  2. Step 2: Convert to fraction form
    138,962/221,296 = 221,296/x
  3. Step 3: Cross multiply
    138,962x = 221,296 × 221,296
  4. Step 4: Simplify right side
    138,962x = 48,971,919,616
  5. Step 5: Solve for x
    x = 48,971,919,616/138,962
  6. Step 6: Final answer
    x = 352,412.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.