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Finding the Third Proportional to 20,480 and 31,027

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Solution

The third proportional to 20,480 and 31,027 is: 47,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480 : 31,027 = 31,027 : x
  2. Step 2: Convert to fraction form
    20,480/31,027 = 31,027/x
  3. Step 3: Cross multiply
    20,480x = 31,027 × 31,027
  4. Step 4: Simplify right side
    20,480x = 962,674,729
  5. Step 5: Solve for x
    x = 962,674,729/20,480
  6. Step 6: Final answer
    x = 47,005.60

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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.