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Finding the Third Proportional to 6,428 and 8,398

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Solution

The third proportional to 6,428 and 8,398 is: 10,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428 : 8,398 = 8,398 : x
  2. Step 2: Convert to fraction form
    6,428/8,398 = 8,398/x
  3. Step 3: Cross multiply
    6,428x = 8,398 × 8,398
  4. Step 4: Simplify right side
    6,428x = 70,526,404
  5. Step 5: Solve for x
    x = 70,526,404/6,428
  6. Step 6: Final answer
    x = 10,971.75

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.