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Finding the Third Proportional to 32,852 and 72,068

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Solution

The third proportional to 32,852 and 72,068 is: 158,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852 : 72,068 = 72,068 : x
  2. Step 2: Convert to fraction form
    32,852/72,068 = 72,068/x
  3. Step 3: Cross multiply
    32,852x = 72,068 × 72,068
  4. Step 4: Simplify right side
    32,852x = 5,193,796,624
  5. Step 5: Solve for x
    x = 5,193,796,624/32,852
  6. Step 6: Final answer
    x = 158,096.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.