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Finding the Third Proportional to 47,400 and 100,644

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Solution

The third proportional to 47,400 and 100,644 is: 213,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400 : 100,644 = 100,644 : x
  2. Step 2: Convert to fraction form
    47,400/100,644 = 100,644/x
  3. Step 3: Cross multiply
    47,400x = 100,644 × 100,644
  4. Step 4: Simplify right side
    47,400x = 10,129,214,736
  5. Step 5: Solve for x
    x = 10,129,214,736/47,400
  6. Step 6: Final answer
    x = 213,696.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.