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Finding the Third Proportional to 21,078 and 29,649

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Solution

The third proportional to 21,078 and 29,649 is: 41,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078 : 29,649 = 29,649 : x
  2. Step 2: Convert to fraction form
    21,078/29,649 = 29,649/x
  3. Step 3: Cross multiply
    21,078x = 29,649 × 29,649
  4. Step 4: Simplify right side
    21,078x = 879,063,201
  5. Step 5: Solve for x
    x = 879,063,201/21,078
  6. Step 6: Final answer
    x = 41,705.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.