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Finding the Third Proportional to 47,242 and 76,120

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Solution

The third proportional to 47,242 and 76,120 is: 122,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242 : 76,120 = 76,120 : x
  2. Step 2: Convert to fraction form
    47,242/76,120 = 76,120/x
  3. Step 3: Cross multiply
    47,242x = 76,120 × 76,120
  4. Step 4: Simplify right side
    47,242x = 5,794,254,400
  5. Step 5: Solve for x
    x = 5,794,254,400/47,242
  6. Step 6: Final answer
    x = 122,650.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.