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Finding the Third Proportional to 10,854 and 17,317

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Solution

The third proportional to 10,854 and 17,317 is: 27,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 17,317 = 17,317 : x
  2. Step 2: Convert to fraction form
    10,854/17,317 = 17,317/x
  3. Step 3: Cross multiply
    10,854x = 17,317 × 17,317
  4. Step 4: Simplify right side
    10,854x = 299,878,489
  5. Step 5: Solve for x
    x = 299,878,489/10,854
  6. Step 6: Final answer
    x = 27,628.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.