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Finding the Third Proportional to 22,596 and 33,080

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Solution

The third proportional to 22,596 and 33,080 is: 48,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596 : 33,080 = 33,080 : x
  2. Step 2: Convert to fraction form
    22,596/33,080 = 33,080/x
  3. Step 3: Cross multiply
    22,596x = 33,080 × 33,080
  4. Step 4: Simplify right side
    22,596x = 1,094,286,400
  5. Step 5: Solve for x
    x = 1,094,286,400/22,596
  6. Step 6: Final answer
    x = 48,428.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.