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Finding the Third Proportional to 39,686 and 61,395

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Solution

The third proportional to 39,686 and 61,395 is: 94,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,686 : 61,395 = 61,395 : x
  2. Step 2: Convert to fraction form
    39,686/61,395 = 61,395/x
  3. Step 3: Cross multiply
    39,686x = 61,395 × 61,395
  4. Step 4: Simplify right side
    39,686x = 3,769,346,025
  5. Step 5: Solve for x
    x = 3,769,346,025/39,686
  6. Step 6: Final answer
    x = 94,979.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.