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Finding the Third Proportional to 20,440 and 28,145

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Solution

The third proportional to 20,440 and 28,145 is: 38,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440 : 28,145 = 28,145 : x
  2. Step 2: Convert to fraction form
    20,440/28,145 = 28,145/x
  3. Step 3: Cross multiply
    20,440x = 28,145 × 28,145
  4. Step 4: Simplify right side
    20,440x = 792,141,025
  5. Step 5: Solve for x
    x = 792,141,025/20,440
  6. Step 6: Final answer
    x = 38,754.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.