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Finding the Third Proportional to 47,120 and 72,190

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Solution

The third proportional to 47,120 and 72,190 is: 110,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,120 : 72,190 = 72,190 : x
  2. Step 2: Convert to fraction form
    47,120/72,190 = 72,190/x
  3. Step 3: Cross multiply
    47,120x = 72,190 × 72,190
  4. Step 4: Simplify right side
    47,120x = 5,211,396,100
  5. Step 5: Solve for x
    x = 5,211,396,100/47,120
  6. Step 6: Final answer
    x = 110,598.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.