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Finding the Third Proportional to 238,743 and 372,645

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Solution

The third proportional to 238,743 and 372,645 is: 581,647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,743 : 372,645 = 372,645 : x
  2. Step 2: Convert to fraction form
    238,743/372,645 = 372,645/x
  3. Step 3: Cross multiply
    238,743x = 372,645 × 372,645
  4. Step 4: Simplify right side
    238,743x = 138,864,296,025
  5. Step 5: Solve for x
    x = 138,864,296,025/238,743
  6. Step 6: Final answer
    x = 581,647.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.