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Finding the Third Proportional to 138,609 and 302,085

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Solution

The third proportional to 138,609 and 302,085 is: 658,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,609 : 302,085 = 302,085 : x
  2. Step 2: Convert to fraction form
    138,609/302,085 = 302,085/x
  3. Step 3: Cross multiply
    138,609x = 302,085 × 302,085
  4. Step 4: Simplify right side
    138,609x = 91,255,347,225
  5. Step 5: Solve for x
    x = 91,255,347,225/138,609
  6. Step 6: Final answer
    x = 658,365.24

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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.