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Finding the Third Proportional to 161,556 and 247,974

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Solution

The third proportional to 161,556 and 247,974 is: 380,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,556 : 247,974 = 247,974 : x
  2. Step 2: Convert to fraction form
    161,556/247,974 = 247,974/x
  3. Step 3: Cross multiply
    161,556x = 247,974 × 247,974
  4. Step 4: Simplify right side
    161,556x = 61,491,104,676
  5. Step 5: Solve for x
    x = 61,491,104,676/161,556
  6. Step 6: Final answer
    x = 380,617.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.