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Finding the Third Proportional to 20,413 and 31,544

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Solution

The third proportional to 20,413 and 31,544 is: 48,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 31,544 = 31,544 : x
  2. Step 2: Convert to fraction form
    20,413/31,544 = 31,544/x
  3. Step 3: Cross multiply
    20,413x = 31,544 × 31,544
  4. Step 4: Simplify right side
    20,413x = 995,023,936
  5. Step 5: Solve for x
    x = 995,023,936/20,413
  6. Step 6: Final answer
    x = 48,744.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.