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Finding the Third Proportional to 2,780 and 6,347

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Solution

The third proportional to 2,780 and 6,347 is: 14,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 6,347 = 6,347 : x
  2. Step 2: Convert to fraction form
    2,780/6,347 = 6,347/x
  3. Step 3: Cross multiply
    2,780x = 6,347 × 6,347
  4. Step 4: Simplify right side
    2,780x = 40,284,409
  5. Step 5: Solve for x
    x = 40,284,409/2,780
  6. Step 6: Final answer
    x = 14,490.79

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.