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Finding the Third Proportional to 20,633 and 43,291

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Solution

The third proportional to 20,633 and 43,291 is: 90,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633 : 43,291 = 43,291 : x
  2. Step 2: Convert to fraction form
    20,633/43,291 = 43,291/x
  3. Step 3: Cross multiply
    20,633x = 43,291 × 43,291
  4. Step 4: Simplify right side
    20,633x = 1,874,110,681
  5. Step 5: Solve for x
    x = 1,874,110,681/20,633
  6. Step 6: Final answer
    x = 90,830.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.