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Finding the Third Proportional to 239,512.50 and 399,168

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Solution

The third proportional to 239,512.50 and 399,168 is: 665,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,512.50 : 399,168 = 399,168 : x
  2. Step 2: Convert to fraction form
    239,512.50/399,168 = 399,168/x
  3. Step 3: Cross multiply
    239,512.50x = 399,168 × 399,168
  4. Step 4: Simplify right side
    239,512.50x = 159,335,092,224
  5. Step 5: Solve for x
    x = 159,335,092,224/239,512.50
  6. Step 6: Final answer
    x = 665,247.50

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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.