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Finding the Third Proportional to 13,288 and 20,578

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Solution

The third proportional to 13,288 and 20,578 is: 31,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288 : 20,578 = 20,578 : x
  2. Step 2: Convert to fraction form
    13,288/20,578 = 20,578/x
  3. Step 3: Cross multiply
    13,288x = 20,578 × 20,578
  4. Step 4: Simplify right side
    13,288x = 423,454,084
  5. Step 5: Solve for x
    x = 423,454,084/13,288
  6. Step 6: Final answer
    x = 31,867.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.