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Finding the Third Proportional to 150,541 and 220,159

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Solution

The third proportional to 150,541 and 220,159 is: 321,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541 : 220,159 = 220,159 : x
  2. Step 2: Convert to fraction form
    150,541/220,159 = 220,159/x
  3. Step 3: Cross multiply
    150,541x = 220,159 × 220,159
  4. Step 4: Simplify right side
    150,541x = 48,469,985,281
  5. Step 5: Solve for x
    x = 48,469,985,281/150,541
  6. Step 6: Final answer
    x = 321,971.99

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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.