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Finding the Third Proportional to 150,757 and 221,639

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Solution

The third proportional to 150,757 and 221,639 is: 325,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,757 : 221,639 = 221,639 : x
  2. Step 2: Convert to fraction form
    150,757/221,639 = 221,639/x
  3. Step 3: Cross multiply
    150,757x = 221,639 × 221,639
  4. Step 4: Simplify right side
    150,757x = 49,123,846,321
  5. Step 5: Solve for x
    x = 49,123,846,321/150,757
  6. Step 6: Final answer
    x = 325,847.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.