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Finding the Third Proportional to 6,405 and 9,802

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Solution

The third proportional to 6,405 and 9,802 is: 15,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 9,802 = 9,802 : x
  2. Step 2: Convert to fraction form
    6,405/9,802 = 9,802/x
  3. Step 3: Cross multiply
    6,405x = 9,802 × 9,802
  4. Step 4: Simplify right side
    6,405x = 96,079,204
  5. Step 5: Solve for x
    x = 96,079,204/6,405
  6. Step 6: Final answer
    x = 15,000.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.