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Finding the Third Proportional to 18,511 and 39,613

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Solution

The third proportional to 18,511 and 39,613 is: 84,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511 : 39,613 = 39,613 : x
  2. Step 2: Convert to fraction form
    18,511/39,613 = 39,613/x
  3. Step 3: Cross multiply
    18,511x = 39,613 × 39,613
  4. Step 4: Simplify right side
    18,511x = 1,569,189,769
  5. Step 5: Solve for x
    x = 1,569,189,769/18,511
  6. Step 6: Final answer
    x = 84,770.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.