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Finding the Third Proportional to 138,534 and 302,016

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Solution

The third proportional to 138,534 and 302,016 is: 658,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534 : 302,016 = 302,016 : x
  2. Step 2: Convert to fraction form
    138,534/302,016 = 302,016/x
  3. Step 3: Cross multiply
    138,534x = 302,016 × 302,016
  4. Step 4: Simplify right side
    138,534x = 91,213,664,256
  5. Step 5: Solve for x
    x = 91,213,664,256/138,534
  6. Step 6: Final answer
    x = 658,420.78

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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.