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Finding the Third Proportional to 21,022 and 34,407

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Solution

The third proportional to 21,022 and 34,407 is: 56,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022 : 34,407 = 34,407 : x
  2. Step 2: Convert to fraction form
    21,022/34,407 = 34,407/x
  3. Step 3: Cross multiply
    21,022x = 34,407 × 34,407
  4. Step 4: Simplify right side
    21,022x = 1,183,841,649
  5. Step 5: Solve for x
    x = 1,183,841,649/21,022
  6. Step 6: Final answer
    x = 56,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.