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Finding the Third Proportional to 18,674 and 39,820

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Solution

The third proportional to 18,674 and 39,820 is: 84,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,674 : 39,820 = 39,820 : x
  2. Step 2: Convert to fraction form
    18,674/39,820 = 39,820/x
  3. Step 3: Cross multiply
    18,674x = 39,820 × 39,820
  4. Step 4: Simplify right side
    18,674x = 1,585,632,400
  5. Step 5: Solve for x
    x = 1,585,632,400/18,674
  6. Step 6: Final answer
    x = 84,911.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.