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Finding the Third Proportional to 20,489.50 and 31,644

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Solution

The third proportional to 20,489.50 and 31,644 is: 48,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.50 : 31,644 = 31,644 : x
  2. Step 2: Convert to fraction form
    20,489.50/31,644 = 31,644/x
  3. Step 3: Cross multiply
    20,489.50x = 31,644 × 31,644
  4. Step 4: Simplify right side
    20,489.50x = 1,001,342,736
  5. Step 5: Solve for x
    x = 1,001,342,736/20,489.50
  6. Step 6: Final answer
    x = 48,871.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.