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Finding the Third Proportional to 32,640 and 67,212

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Solution

The third proportional to 32,640 and 67,212 is: 138,402.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 67,212 = 67,212 : x
  2. Step 2: Convert to fraction form
    32,640/67,212 = 67,212/x
  3. Step 3: Cross multiply
    32,640x = 67,212 × 67,212
  4. Step 4: Simplify right side
    32,640x = 4,517,452,944
  5. Step 5: Solve for x
    x = 4,517,452,944/32,640
  6. Step 6: Final answer
    x = 138,402.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.