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Finding the Third Proportional to 30,832 and 40,989

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Solution

The third proportional to 30,832 and 40,989 is: 54,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832 : 40,989 = 40,989 : x
  2. Step 2: Convert to fraction form
    30,832/40,989 = 40,989/x
  3. Step 3: Cross multiply
    30,832x = 40,989 × 40,989
  4. Step 4: Simplify right side
    30,832x = 1,680,098,121
  5. Step 5: Solve for x
    x = 1,680,098,121/30,832
  6. Step 6: Final answer
    x = 54,492.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.