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Finding the Third Proportional to 39,962 and 86,157

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Solution

The third proportional to 39,962 and 86,157 is: 185,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,962 : 86,157 = 86,157 : x
  2. Step 2: Convert to fraction form
    39,962/86,157 = 86,157/x
  3. Step 3: Cross multiply
    39,962x = 86,157 × 86,157
  4. Step 4: Simplify right side
    39,962x = 7,423,028,649
  5. Step 5: Solve for x
    x = 7,423,028,649/39,962
  6. Step 6: Final answer
    x = 185,752.18

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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.