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Finding the Third Proportional to 6,815 and 10,421

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Solution

The third proportional to 6,815 and 10,421 is: 15,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815 : 10,421 = 10,421 : x
  2. Step 2: Convert to fraction form
    6,815/10,421 = 10,421/x
  3. Step 3: Cross multiply
    6,815x = 10,421 × 10,421
  4. Step 4: Simplify right side
    6,815x = 108,597,241
  5. Step 5: Solve for x
    x = 108,597,241/6,815
  6. Step 6: Final answer
    x = 15,935.03

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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.