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Finding the Third Proportional to 39,969 and 86,274

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Solution

The third proportional to 39,969 and 86,274 is: 186,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 86,274 = 86,274 : x
  2. Step 2: Convert to fraction form
    39,969/86,274 = 86,274/x
  3. Step 3: Cross multiply
    39,969x = 86,274 × 86,274
  4. Step 4: Simplify right side
    39,969x = 7,443,203,076
  5. Step 5: Solve for x
    x = 7,443,203,076/39,969
  6. Step 6: Final answer
    x = 186,224.40

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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.