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Finding the Third Proportional to 138,848 and 302,824

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Solution

The third proportional to 138,848 and 302,824 is: 660,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,848 : 302,824 = 302,824 : x
  2. Step 2: Convert to fraction form
    138,848/302,824 = 302,824/x
  3. Step 3: Cross multiply
    138,848x = 302,824 × 302,824
  4. Step 4: Simplify right side
    138,848x = 91,702,374,976
  5. Step 5: Solve for x
    x = 91,702,374,976/138,848
  6. Step 6: Final answer
    x = 660,451.54

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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.