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Finding the Third Proportional to 138,772 and 219,530

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Solution

The third proportional to 138,772 and 219,530 is: 347,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,772 : 219,530 = 219,530 : x
  2. Step 2: Convert to fraction form
    138,772/219,530 = 219,530/x
  3. Step 3: Cross multiply
    138,772x = 219,530 × 219,530
  4. Step 4: Simplify right side
    138,772x = 48,193,420,900
  5. Step 5: Solve for x
    x = 48,193,420,900/138,772
  6. Step 6: Final answer
    x = 347,284.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.