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Finding the Third Proportional to 239,500 and 399,148

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Solution

The third proportional to 239,500 and 399,148 is: 665,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,500 : 399,148 = 399,148 : x
  2. Step 2: Convert to fraction form
    239,500/399,148 = 399,148/x
  3. Step 3: Cross multiply
    239,500x = 399,148 × 399,148
  4. Step 4: Simplify right side
    239,500x = 159,319,125,904
  5. Step 5: Solve for x
    x = 159,319,125,904/239,500
  6. Step 6: Final answer
    x = 665,215.56

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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.