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Finding the Third Proportional to 239,684 and 372,606

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Solution

The third proportional to 239,684 and 372,606 is: 579,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,684 : 372,606 = 372,606 : x
  2. Step 2: Convert to fraction form
    239,684/372,606 = 372,606/x
  3. Step 3: Cross multiply
    239,684x = 372,606 × 372,606
  4. Step 4: Simplify right side
    239,684x = 138,835,231,236
  5. Step 5: Solve for x
    x = 138,835,231,236/239,684
  6. Step 6: Final answer
    x = 579,242.80

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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.