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Finding the Third Proportional to 20,392 and 30,804

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Solution

The third proportional to 20,392 and 30,804 is: 46,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392 : 30,804 = 30,804 : x
  2. Step 2: Convert to fraction form
    20,392/30,804 = 30,804/x
  3. Step 3: Cross multiply
    20,392x = 30,804 × 30,804
  4. Step 4: Simplify right side
    20,392x = 948,886,416
  5. Step 5: Solve for x
    x = 948,886,416/20,392
  6. Step 6: Final answer
    x = 46,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.