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Finding the Third Proportional to 101,320 and 219,812

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Solution

The third proportional to 101,320 and 219,812 is: 476,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,320 : 219,812 = 219,812 : x
  2. Step 2: Convert to fraction form
    101,320/219,812 = 219,812/x
  3. Step 3: Cross multiply
    101,320x = 219,812 × 219,812
  4. Step 4: Simplify right side
    101,320x = 48,317,315,344
  5. Step 5: Solve for x
    x = 48,317,315,344/101,320
  6. Step 6: Final answer
    x = 476,878.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.