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Finding the Third Proportional to 39,946 and 86,939

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Solution

The third proportional to 39,946 and 86,939 is: 189,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,946 : 86,939 = 86,939 : x
  2. Step 2: Convert to fraction form
    39,946/86,939 = 86,939/x
  3. Step 3: Cross multiply
    39,946x = 86,939 × 86,939
  4. Step 4: Simplify right side
    39,946x = 7,558,389,721
  5. Step 5: Solve for x
    x = 7,558,389,721/39,946
  6. Step 6: Final answer
    x = 189,215.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.