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Finding the Third Proportional to 142,170 and 299,092

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Solution

The third proportional to 142,170 and 299,092 is: 629,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,170 : 299,092 = 299,092 : x
  2. Step 2: Convert to fraction form
    142,170/299,092 = 299,092/x
  3. Step 3: Cross multiply
    142,170x = 299,092 × 299,092
  4. Step 4: Simplify right side
    142,170x = 89,456,024,464
  5. Step 5: Solve for x
    x = 89,456,024,464/142,170
  6. Step 6: Final answer
    x = 629,218.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.