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Finding the Third Proportional to 69,739 and 143,153

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Solution

The third proportional to 69,739 and 143,153 is: 293,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,739 : 143,153 = 143,153 : x
  2. Step 2: Convert to fraction form
    69,739/143,153 = 143,153/x
  3. Step 3: Cross multiply
    69,739x = 143,153 × 143,153
  4. Step 4: Simplify right side
    69,739x = 20,492,781,409
  5. Step 5: Solve for x
    x = 20,492,781,409/69,739
  6. Step 6: Final answer
    x = 293,849.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.