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Finding the Third Proportional to 20,458 and 30,963

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Solution

The third proportional to 20,458 and 30,963 is: 46,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458 : 30,963 = 30,963 : x
  2. Step 2: Convert to fraction form
    20,458/30,963 = 30,963/x
  3. Step 3: Cross multiply
    20,458x = 30,963 × 30,963
  4. Step 4: Simplify right side
    20,458x = 958,707,369
  5. Step 5: Solve for x
    x = 958,707,369/20,458
  6. Step 6: Final answer
    x = 46,862.22

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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.