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Finding the Third Proportional to 20,400 and 47,010

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Solution

The third proportional to 20,400 and 47,010 is: 108,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400 : 47,010 = 47,010 : x
  2. Step 2: Convert to fraction form
    20,400/47,010 = 47,010/x
  3. Step 3: Cross multiply
    20,400x = 47,010 × 47,010
  4. Step 4: Simplify right side
    20,400x = 2,209,940,100
  5. Step 5: Solve for x
    x = 2,209,940,100/20,400
  6. Step 6: Final answer
    x = 108,330.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.