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Finding the Third Proportional to 6,410 and 13,807

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Solution

The third proportional to 6,410 and 13,807 is: 29,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 13,807 = 13,807 : x
  2. Step 2: Convert to fraction form
    6,410/13,807 = 13,807/x
  3. Step 3: Cross multiply
    6,410x = 13,807 × 13,807
  4. Step 4: Simplify right side
    6,410x = 190,633,249
  5. Step 5: Solve for x
    x = 190,633,249/6,410
  6. Step 6: Final answer
    x = 29,739.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.