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Finding the Third Proportional to 138,888 and 302,868

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Solution

The third proportional to 138,888 and 302,868 is: 660,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,888 : 302,868 = 302,868 : x
  2. Step 2: Convert to fraction form
    138,888/302,868 = 302,868/x
  3. Step 3: Cross multiply
    138,888x = 302,868 × 302,868
  4. Step 4: Simplify right side
    138,888x = 91,729,025,424
  5. Step 5: Solve for x
    x = 91,729,025,424/138,888
  6. Step 6: Final answer
    x = 660,453.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.