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Finding the Third Proportional to 69,731 and 143,138

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Solution

The third proportional to 69,731 and 143,138 is: 293,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,731 : 143,138 = 143,138 : x
  2. Step 2: Convert to fraction form
    69,731/143,138 = 143,138/x
  3. Step 3: Cross multiply
    69,731x = 143,138 × 143,138
  4. Step 4: Simplify right side
    69,731x = 20,488,487,044
  5. Step 5: Solve for x
    x = 20,488,487,044/69,731
  6. Step 6: Final answer
    x = 293,821.79

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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.