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Finding the Third Proportional to 81,743 and 173,875

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Solution

The third proportional to 81,743 and 173,875 is: 369,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,743 : 173,875 = 173,875 : x
  2. Step 2: Convert to fraction form
    81,743/173,875 = 173,875/x
  3. Step 3: Cross multiply
    81,743x = 173,875 × 173,875
  4. Step 4: Simplify right side
    81,743x = 30,232,515,625
  5. Step 5: Solve for x
    x = 30,232,515,625/81,743
  6. Step 6: Final answer
    x = 369,848.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.