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Finding the Third Proportional to 8,111 and 9,317

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Solution

The third proportional to 8,111 and 9,317 is: 10,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111 : 9,317 = 9,317 : x
  2. Step 2: Convert to fraction form
    8,111/9,317 = 9,317/x
  3. Step 3: Cross multiply
    8,111x = 9,317 × 9,317
  4. Step 4: Simplify right side
    8,111x = 86,806,489
  5. Step 5: Solve for x
    x = 86,806,489/8,111
  6. Step 6: Final answer
    x = 10,702.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.