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Finding the Third Proportional to 39,708 and 85,956

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Solution

The third proportional to 39,708 and 85,956 is: 186,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708 : 85,956 = 85,956 : x
  2. Step 2: Convert to fraction form
    39,708/85,956 = 85,956/x
  3. Step 3: Cross multiply
    39,708x = 85,956 × 85,956
  4. Step 4: Simplify right side
    39,708x = 7,388,433,936
  5. Step 5: Solve for x
    x = 7,388,433,936/39,708
  6. Step 6: Final answer
    x = 186,069.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.