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Finding the Third Proportional to 20,104 and 30,880

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Solution

The third proportional to 20,104 and 30,880 is: 47,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104 : 30,880 = 30,880 : x
  2. Step 2: Convert to fraction form
    20,104/30,880 = 30,880/x
  3. Step 3: Cross multiply
    20,104x = 30,880 × 30,880
  4. Step 4: Simplify right side
    20,104x = 953,574,400
  5. Step 5: Solve for x
    x = 953,574,400/20,104
  6. Step 6: Final answer
    x = 47,432.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.