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Finding the Third Proportional to 20,281 and 31,255.50

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Solution

The third proportional to 20,281 and 31,255.50 is: 48,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281 : 31,255.50 = 31,255.50 : x
  2. Step 2: Convert to fraction form
    20,281/31,255.50 = 31,255.50/x
  3. Step 3: Cross multiply
    20,281x = 31,255.50 × 31,255.50
  4. Step 4: Simplify right side
    20,281x = 976,906,280.25
  5. Step 5: Solve for x
    x = 976,906,280.25/20,281
  6. Step 6: Final answer
    x = 48,168.55

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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.