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Finding the Third Proportional to 138,036 and 284,892

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Solution

The third proportional to 138,036 and 284,892 is: 587,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,036 : 284,892 = 284,892 : x
  2. Step 2: Convert to fraction form
    138,036/284,892 = 284,892/x
  3. Step 3: Cross multiply
    138,036x = 284,892 × 284,892
  4. Step 4: Simplify right side
    138,036x = 81,163,451,664
  5. Step 5: Solve for x
    x = 81,163,451,664/138,036
  6. Step 6: Final answer
    x = 587,987.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.