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Finding the Third Proportional to 270,978 and 587,136

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Solution

The third proportional to 270,978 and 587,136 is: 1,272,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,978 : 587,136 = 587,136 : x
  2. Step 2: Convert to fraction form
    270,978/587,136 = 587,136/x
  3. Step 3: Cross multiply
    270,978x = 587,136 × 587,136
  4. Step 4: Simplify right side
    270,978x = 344,728,682,496
  5. Step 5: Solve for x
    x = 344,728,682,496/270,978
  6. Step 6: Final answer
    x = 1,272,164.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.