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Finding the Third Proportional to 31,018 and 39,831

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Solution

The third proportional to 31,018 and 39,831 is: 51,148.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018 : 39,831 = 39,831 : x
  2. Step 2: Convert to fraction form
    31,018/39,831 = 39,831/x
  3. Step 3: Cross multiply
    31,018x = 39,831 × 39,831
  4. Step 4: Simplify right side
    31,018x = 1,586,508,561
  5. Step 5: Solve for x
    x = 1,586,508,561/31,018
  6. Step 6: Final answer
    x = 51,148.00

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.