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Finding the Third Proportional to 239,485 and 399,125

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Solution

The third proportional to 239,485 and 399,125 is: 665,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,485 : 399,125 = 399,125 : x
  2. Step 2: Convert to fraction form
    239,485/399,125 = 399,125/x
  3. Step 3: Cross multiply
    239,485x = 399,125 × 399,125
  4. Step 4: Simplify right side
    239,485x = 159,300,765,625
  5. Step 5: Solve for x
    x = 159,300,765,625/239,485
  6. Step 6: Final answer
    x = 665,180.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.