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Finding the Third Proportional to 138,166 and 302,638

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Solution

The third proportional to 138,166 and 302,638 is: 662,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,166 : 302,638 = 302,638 : x
  2. Step 2: Convert to fraction form
    138,166/302,638 = 302,638/x
  3. Step 3: Cross multiply
    138,166x = 302,638 × 302,638
  4. Step 4: Simplify right side
    138,166x = 91,589,759,044
  5. Step 5: Solve for x
    x = 91,589,759,044/138,166
  6. Step 6: Final answer
    x = 662,896.51

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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.