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Finding the Third Proportional to 20,969 and 31,724

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Solution

The third proportional to 20,969 and 31,724 is: 47,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969 : 31,724 = 31,724 : x
  2. Step 2: Convert to fraction form
    20,969/31,724 = 31,724/x
  3. Step 3: Cross multiply
    20,969x = 31,724 × 31,724
  4. Step 4: Simplify right side
    20,969x = 1,006,412,176
  5. Step 5: Solve for x
    x = 1,006,412,176/20,969
  6. Step 6: Final answer
    x = 47,995.24

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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.