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Finding the Third Proportional to 20,920 and 29,322

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Solution

The third proportional to 20,920 and 29,322 is: 41,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920 : 29,322 = 29,322 : x
  2. Step 2: Convert to fraction form
    20,920/29,322 = 29,322/x
  3. Step 3: Cross multiply
    20,920x = 29,322 × 29,322
  4. Step 4: Simplify right side
    20,920x = 859,779,684
  5. Step 5: Solve for x
    x = 859,779,684/20,920
  6. Step 6: Final answer
    x = 41,098.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.