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Finding the Third Proportional to 138,244 and 302,408

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Solution

The third proportional to 138,244 and 302,408 is: 661,515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,244 : 302,408 = 302,408 : x
  2. Step 2: Convert to fraction form
    138,244/302,408 = 302,408/x
  3. Step 3: Cross multiply
    138,244x = 302,408 × 302,408
  4. Step 4: Simplify right side
    138,244x = 91,450,598,464
  5. Step 5: Solve for x
    x = 91,450,598,464/138,244
  6. Step 6: Final answer
    x = 661,515.86

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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.