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Finding the Third Proportional to 81,729 and 175,968

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Solution

The third proportional to 81,729 and 175,968 is: 378,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729 : 175,968 = 175,968 : x
  2. Step 2: Convert to fraction form
    81,729/175,968 = 175,968/x
  3. Step 3: Cross multiply
    81,729x = 175,968 × 175,968
  4. Step 4: Simplify right side
    81,729x = 30,964,737,024
  5. Step 5: Solve for x
    x = 30,964,737,024/81,729
  6. Step 6: Final answer
    x = 378,870.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.