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Finding the Third Proportional to 138,224 and 302,734

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Solution

The third proportional to 138,224 and 302,734 is: 663,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,224 : 302,734 = 302,734 : x
  2. Step 2: Convert to fraction form
    138,224/302,734 = 302,734/x
  3. Step 3: Cross multiply
    138,224x = 302,734 × 302,734
  4. Step 4: Simplify right side
    138,224x = 91,647,874,756
  5. Step 5: Solve for x
    x = 91,647,874,756/138,224
  6. Step 6: Final answer
    x = 663,038.80

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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.