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Finding the Third Proportional to 159,802 and 347,780

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Solution

The third proportional to 159,802 and 347,780 is: 756,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,802 : 347,780 = 347,780 : x
  2. Step 2: Convert to fraction form
    159,802/347,780 = 347,780/x
  3. Step 3: Cross multiply
    159,802x = 347,780 × 347,780
  4. Step 4: Simplify right side
    159,802x = 120,950,928,400
  5. Step 5: Solve for x
    x = 120,950,928,400/159,802
  6. Step 6: Final answer
    x = 756,879.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.