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Finding the Third Proportional to 69,155 and 140,847

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Solution

The third proportional to 69,155 and 140,847 is: 286,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,155 : 140,847 = 140,847 : x
  2. Step 2: Convert to fraction form
    69,155/140,847 = 140,847/x
  3. Step 3: Cross multiply
    69,155x = 140,847 × 140,847
  4. Step 4: Simplify right side
    69,155x = 19,837,877,409
  5. Step 5: Solve for x
    x = 19,837,877,409/69,155
  6. Step 6: Final answer
    x = 286,861.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.