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Finding the Third Proportional to 47,889 and 72,197.75

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Solution

The third proportional to 47,889 and 72,197.75 is: 108,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,889 : 72,197.75 = 72,197.75 : x
  2. Step 2: Convert to fraction form
    47,889/72,197.75 = 72,197.75/x
  3. Step 3: Cross multiply
    47,889x = 72,197.75 × 72,197.75
  4. Step 4: Simplify right side
    47,889x = 5,212,515,105.06
  5. Step 5: Solve for x
    x = 5,212,515,105.06/47,889
  6. Step 6: Final answer
    x = 108,845.77

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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.