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Finding the Third Proportional to 147,903 and 221,782

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Solution

The third proportional to 147,903 and 221,782 is: 332,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903 : 221,782 = 221,782 : x
  2. Step 2: Convert to fraction form
    147,903/221,782 = 221,782/x
  3. Step 3: Cross multiply
    147,903x = 221,782 × 221,782
  4. Step 4: Simplify right side
    147,903x = 49,187,255,524
  5. Step 5: Solve for x
    x = 49,187,255,524/147,903
  6. Step 6: Final answer
    x = 332,564.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.