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Finding the Third Proportional to 102,519 and 220,366

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Solution

The third proportional to 102,519 and 220,366 is: 473,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519 : 220,366 = 220,366 : x
  2. Step 2: Convert to fraction form
    102,519/220,366 = 220,366/x
  3. Step 3: Cross multiply
    102,519x = 220,366 × 220,366
  4. Step 4: Simplify right side
    102,519x = 48,561,173,956
  5. Step 5: Solve for x
    x = 48,561,173,956/102,519
  6. Step 6: Final answer
    x = 473,679.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.