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Finding the Third Proportional to 20,697 and 31,245.50

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Solution

The third proportional to 20,697 and 31,245.50 is: 47,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697 : 31,245.50 = 31,245.50 : x
  2. Step 2: Convert to fraction form
    20,697/31,245.50 = 31,245.50/x
  3. Step 3: Cross multiply
    20,697x = 31,245.50 × 31,245.50
  4. Step 4: Simplify right side
    20,697x = 976,281,270.25
  5. Step 5: Solve for x
    x = 976,281,270.25/20,697
  6. Step 6: Final answer
    x = 47,170.18

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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.