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Finding the Third Proportional to 20,849 and 31,455

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Solution

The third proportional to 20,849 and 31,455 is: 47,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,849 : 31,455 = 31,455 : x
  2. Step 2: Convert to fraction form
    20,849/31,455 = 31,455/x
  3. Step 3: Cross multiply
    20,849x = 31,455 × 31,455
  4. Step 4: Simplify right side
    20,849x = 989,417,025
  5. Step 5: Solve for x
    x = 989,417,025/20,849
  6. Step 6: Final answer
    x = 47,456.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.