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Finding the Third Proportional to 138,379 and 302,395

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Solution

The third proportional to 138,379 and 302,395 is: 660,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,379 : 302,395 = 302,395 : x
  2. Step 2: Convert to fraction form
    138,379/302,395 = 302,395/x
  3. Step 3: Cross multiply
    138,379x = 302,395 × 302,395
  4. Step 4: Simplify right side
    138,379x = 91,442,736,025
  5. Step 5: Solve for x
    x = 91,442,736,025/138,379
  6. Step 6: Final answer
    x = 660,813.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.