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Finding the Third Proportional to 69,698 and 143,092

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Solution

The third proportional to 69,698 and 143,092 is: 293,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,698 : 143,092 = 143,092 : x
  2. Step 2: Convert to fraction form
    69,698/143,092 = 143,092/x
  3. Step 3: Cross multiply
    69,698x = 143,092 × 143,092
  4. Step 4: Simplify right side
    69,698x = 20,475,320,464
  5. Step 5: Solve for x
    x = 20,475,320,464/69,698
  6. Step 6: Final answer
    x = 293,771.99

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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.