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Finding the Third Proportional to 138,462 and 207,462

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Solution

The third proportional to 138,462 and 207,462 is: 310,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462 : 207,462 = 207,462 : x
  2. Step 2: Convert to fraction form
    138,462/207,462 = 207,462/x
  3. Step 3: Cross multiply
    138,462x = 207,462 × 207,462
  4. Step 4: Simplify right side
    138,462x = 43,040,481,444
  5. Step 5: Solve for x
    x = 43,040,481,444/138,462
  6. Step 6: Final answer
    x = 310,846.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.