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Finding the Third Proportional to 6,478 and 13,877

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Solution

The third proportional to 6,478 and 13,877 is: 29,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478 : 13,877 = 13,877 : x
  2. Step 2: Convert to fraction form
    6,478/13,877 = 13,877/x
  3. Step 3: Cross multiply
    6,478x = 13,877 × 13,877
  4. Step 4: Simplify right side
    6,478x = 192,571,129
  5. Step 5: Solve for x
    x = 192,571,129/6,478
  6. Step 6: Final answer
    x = 29,726.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.