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Finding the Third Proportional to 18,511 and 30,074

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Solution

The third proportional to 18,511 and 30,074 is: 48,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511 : 30,074 = 30,074 : x
  2. Step 2: Convert to fraction form
    18,511/30,074 = 30,074/x
  3. Step 3: Cross multiply
    18,511x = 30,074 × 30,074
  4. Step 4: Simplify right side
    18,511x = 904,445,476
  5. Step 5: Solve for x
    x = 904,445,476/18,511
  6. Step 6: Final answer
    x = 48,859.89

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.