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Finding the Third Proportional to 20,613 and 31,893

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Solution

The third proportional to 20,613 and 31,893 is: 49,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613 : 31,893 = 31,893 : x
  2. Step 2: Convert to fraction form
    20,613/31,893 = 31,893/x
  3. Step 3: Cross multiply
    20,613x = 31,893 × 31,893
  4. Step 4: Simplify right side
    20,613x = 1,017,163,449
  5. Step 5: Solve for x
    x = 1,017,163,449/20,613
  6. Step 6: Final answer
    x = 49,345.73

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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.