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Finding the Third Proportional to 6,419 and 6,959

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Solution

The third proportional to 6,419 and 6,959 is: 7,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419 : 6,959 = 6,959 : x
  2. Step 2: Convert to fraction form
    6,419/6,959 = 6,959/x
  3. Step 3: Cross multiply
    6,419x = 6,959 × 6,959
  4. Step 4: Simplify right side
    6,419x = 48,427,681
  5. Step 5: Solve for x
    x = 48,427,681/6,419
  6. Step 6: Final answer
    x = 7,544.43

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.