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Finding the Third Proportional to 147,699 and 221,493

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Solution

The third proportional to 147,699 and 221,493 is: 332,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,699 : 221,493 = 221,493 : x
  2. Step 2: Convert to fraction form
    147,699/221,493 = 221,493/x
  3. Step 3: Cross multiply
    147,699x = 221,493 × 221,493
  4. Step 4: Simplify right side
    147,699x = 49,059,149,049
  5. Step 5: Solve for x
    x = 49,059,149,049/147,699
  6. Step 6: Final answer
    x = 332,156.27

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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.