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Finding the Third Proportional to 6,398 and 7,018

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Solution

The third proportional to 6,398 and 7,018 is: 7,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398 : 7,018 = 7,018 : x
  2. Step 2: Convert to fraction form
    6,398/7,018 = 7,018/x
  3. Step 3: Cross multiply
    6,398x = 7,018 × 7,018
  4. Step 4: Simplify right side
    6,398x = 49,252,324
  5. Step 5: Solve for x
    x = 49,252,324/6,398
  6. Step 6: Final answer
    x = 7,698.08

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.