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Finding the Third Proportional to 20,841 and 31,462.50

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Solution

The third proportional to 20,841 and 31,462.50 is: 47,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841 : 31,462.50 = 31,462.50 : x
  2. Step 2: Convert to fraction form
    20,841/31,462.50 = 31,462.50/x
  3. Step 3: Cross multiply
    20,841x = 31,462.50 × 31,462.50
  4. Step 4: Simplify right side
    20,841x = 989,888,906.25
  5. Step 5: Solve for x
    x = 989,888,906.25/20,841
  6. Step 6: Final answer
    x = 47,497.19

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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.