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Finding the Third Proportional to 39,954 and 86,820

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Solution

The third proportional to 39,954 and 86,820 is: 188,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,954 : 86,820 = 86,820 : x
  2. Step 2: Convert to fraction form
    39,954/86,820 = 86,820/x
  3. Step 3: Cross multiply
    39,954x = 86,820 × 86,820
  4. Step 4: Simplify right side
    39,954x = 7,537,712,400
  5. Step 5: Solve for x
    x = 7,537,712,400/39,954
  6. Step 6: Final answer
    x = 188,659.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.