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Finding the Third Proportional to 21,331 and 33,205

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Solution

The third proportional to 21,331 and 33,205 is: 51,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331 : 33,205 = 33,205 : x
  2. Step 2: Convert to fraction form
    21,331/33,205 = 33,205/x
  3. Step 3: Cross multiply
    21,331x = 33,205 × 33,205
  4. Step 4: Simplify right side
    21,331x = 1,102,572,025
  5. Step 5: Solve for x
    x = 1,102,572,025/21,331
  6. Step 6: Final answer
    x = 51,688.72

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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.