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Finding the Third Proportional to 20,999 and 31,594

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Solution

The third proportional to 20,999 and 31,594 is: 47,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999 : 31,594 = 31,594 : x
  2. Step 2: Convert to fraction form
    20,999/31,594 = 31,594/x
  3. Step 3: Cross multiply
    20,999x = 31,594 × 31,594
  4. Step 4: Simplify right side
    20,999x = 998,180,836
  5. Step 5: Solve for x
    x = 998,180,836/20,999
  6. Step 6: Final answer
    x = 47,534.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.