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Finding the Third Proportional to 20,418 and 30,081

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Solution

The third proportional to 20,418 and 30,081 is: 44,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,418 : 30,081 = 30,081 : x
  2. Step 2: Convert to fraction form
    20,418/30,081 = 30,081/x
  3. Step 3: Cross multiply
    20,418x = 30,081 × 30,081
  4. Step 4: Simplify right side
    20,418x = 904,866,561
  5. Step 5: Solve for x
    x = 904,866,561/20,418
  6. Step 6: Final answer
    x = 44,317.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.