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Finding the Third Proportional to 39,031 and 82,141

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Solution

The third proportional to 39,031 and 82,141 is: 172,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,031 : 82,141 = 82,141 : x
  2. Step 2: Convert to fraction form
    39,031/82,141 = 82,141/x
  3. Step 3: Cross multiply
    39,031x = 82,141 × 82,141
  4. Step 4: Simplify right side
    39,031x = 6,747,143,881
  5. Step 5: Solve for x
    x = 6,747,143,881/39,031
  6. Step 6: Final answer
    x = 172,866.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.