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Finding the Third Proportional to 39,116 and 81,000

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Solution

The third proportional to 39,116 and 81,000 is: 167,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116 : 81,000 = 81,000 : x
  2. Step 2: Convert to fraction form
    39,116/81,000 = 81,000/x
  3. Step 3: Cross multiply
    39,116x = 81,000 × 81,000
  4. Step 4: Simplify right side
    39,116x = 6,561,000,000
  5. Step 5: Solve for x
    x = 6,561,000,000/39,116
  6. Step 6: Final answer
    x = 167,731.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.