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Finding the Third Proportional to 17,861 and 38,854

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Solution

The third proportional to 17,861 and 38,854 is: 84,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861 : 38,854 = 38,854 : x
  2. Step 2: Convert to fraction form
    17,861/38,854 = 38,854/x
  3. Step 3: Cross multiply
    17,861x = 38,854 × 38,854
  4. Step 4: Simplify right side
    17,861x = 1,509,633,316
  5. Step 5: Solve for x
    x = 1,509,633,316/17,861
  6. Step 6: Final answer
    x = 84,521.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.