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Finding the Third Proportional to 138,660 and 301,608

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Solution

The third proportional to 138,660 and 301,608 is: 656,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,660 : 301,608 = 301,608 : x
  2. Step 2: Convert to fraction form
    138,660/301,608 = 301,608/x
  3. Step 3: Cross multiply
    138,660x = 301,608 × 301,608
  4. Step 4: Simplify right side
    138,660x = 90,967,385,664
  5. Step 5: Solve for x
    x = 90,967,385,664/138,660
  6. Step 6: Final answer
    x = 656,046.34

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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.