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Finding the Third Proportional to 39,787 and 87,570

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Solution

The third proportional to 39,787 and 87,570 is: 192,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,787 : 87,570 = 87,570 : x
  2. Step 2: Convert to fraction form
    39,787/87,570 = 87,570/x
  3. Step 3: Cross multiply
    39,787x = 87,570 × 87,570
  4. Step 4: Simplify right side
    39,787x = 7,668,504,900
  5. Step 5: Solve for x
    x = 7,668,504,900/39,787
  6. Step 6: Final answer
    x = 192,738.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.