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Finding the Third Proportional to 138,615.75 and 302,109

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Solution

The third proportional to 138,615.75 and 302,109 is: 658,437.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,615.75 : 302,109 = 302,109 : x
  2. Step 2: Convert to fraction form
    138,615.75/302,109 = 302,109/x
  3. Step 3: Cross multiply
    138,615.75x = 302,109 × 302,109
  4. Step 4: Simplify right side
    138,615.75x = 91,269,847,881
  5. Step 5: Solve for x
    x = 91,269,847,881/138,615.75
  6. Step 6: Final answer
    x = 658,437.79

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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.