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Finding the Third Proportional to 39,770 and 87,820

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Solution

The third proportional to 39,770 and 87,820 is: 193,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,770 : 87,820 = 87,820 : x
  2. Step 2: Convert to fraction form
    39,770/87,820 = 87,820/x
  3. Step 3: Cross multiply
    39,770x = 87,820 × 87,820
  4. Step 4: Simplify right side
    39,770x = 7,712,352,400
  5. Step 5: Solve for x
    x = 7,712,352,400/39,770
  6. Step 6: Final answer
    x = 193,923.87

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.