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Finding the Third Proportional to 21,190 and 29,055

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Solution

The third proportional to 21,190 and 29,055 is: 39,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190 : 29,055 = 29,055 : x
  2. Step 2: Convert to fraction form
    21,190/29,055 = 29,055/x
  3. Step 3: Cross multiply
    21,190x = 29,055 × 29,055
  4. Step 4: Simplify right side
    21,190x = 844,193,025
  5. Step 5: Solve for x
    x = 844,193,025/21,190
  6. Step 6: Final answer
    x = 39,839.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.