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Finding the Third Proportional to 39,956 and 86,139

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Solution

The third proportional to 39,956 and 86,139 is: 185,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,956 : 86,139 = 86,139 : x
  2. Step 2: Convert to fraction form
    39,956/86,139 = 86,139/x
  3. Step 3: Cross multiply
    39,956x = 86,139 × 86,139
  4. Step 4: Simplify right side
    39,956x = 7,419,927,321
  5. Step 5: Solve for x
    x = 7,419,927,321/39,956
  6. Step 6: Final answer
    x = 185,702.46

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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.