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Finding the Third Proportional to 7,086 and 8,382

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Solution

The third proportional to 7,086 and 8,382 is: 9,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086 : 8,382 = 8,382 : x
  2. Step 2: Convert to fraction form
    7,086/8,382 = 8,382/x
  3. Step 3: Cross multiply
    7,086x = 8,382 × 8,382
  4. Step 4: Simplify right side
    7,086x = 70,257,924
  5. Step 5: Solve for x
    x = 70,257,924/7,086
  6. Step 6: Final answer
    x = 9,915.03

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.