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Finding the Third Proportional to 18,561 and 29,511

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Solution

The third proportional to 18,561 and 29,511 is: 46,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 29,511 = 29,511 : x
  2. Step 2: Convert to fraction form
    18,561/29,511 = 29,511/x
  3. Step 3: Cross multiply
    18,561x = 29,511 × 29,511
  4. Step 4: Simplify right side
    18,561x = 870,899,121
  5. Step 5: Solve for x
    x = 870,899,121/18,561
  6. Step 6: Final answer
    x = 46,920.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.