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Finding the Third Proportional to 239,740 and 372,214

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Solution

The third proportional to 239,740 and 372,214 is: 577,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,740 : 372,214 = 372,214 : x
  2. Step 2: Convert to fraction form
    239,740/372,214 = 372,214/x
  3. Step 3: Cross multiply
    239,740x = 372,214 × 372,214
  4. Step 4: Simplify right side
    239,740x = 138,543,261,796
  5. Step 5: Solve for x
    x = 138,543,261,796/239,740
  6. Step 6: Final answer
    x = 577,889.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.