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Finding the Third Proportional to 18,622 and 42,115

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Solution

The third proportional to 18,622 and 42,115 is: 95,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,622 : 42,115 = 42,115 : x
  2. Step 2: Convert to fraction form
    18,622/42,115 = 42,115/x
  3. Step 3: Cross multiply
    18,622x = 42,115 × 42,115
  4. Step 4: Simplify right side
    18,622x = 1,773,673,225
  5. Step 5: Solve for x
    x = 1,773,673,225/18,622
  6. Step 6: Final answer
    x = 95,246.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.