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Finding the Third Proportional to 20,050 and 31,191

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Solution

The third proportional to 20,050 and 31,191 is: 48,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050 : 31,191 = 31,191 : x
  2. Step 2: Convert to fraction form
    20,050/31,191 = 31,191/x
  3. Step 3: Cross multiply
    20,050x = 31,191 × 31,191
  4. Step 4: Simplify right side
    20,050x = 972,878,481
  5. Step 5: Solve for x
    x = 972,878,481/20,050
  6. Step 6: Final answer
    x = 48,522.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.