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Finding the Third Proportional to 150,638 and 220,298

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Solution

The third proportional to 150,638 and 220,298 is: 322,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,638 : 220,298 = 220,298 : x
  2. Step 2: Convert to fraction form
    150,638/220,298 = 220,298/x
  3. Step 3: Cross multiply
    150,638x = 220,298 × 220,298
  4. Step 4: Simplify right side
    150,638x = 48,531,208,804
  5. Step 5: Solve for x
    x = 48,531,208,804/150,638
  6. Step 6: Final answer
    x = 322,171.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.