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Finding the Third Proportional to 2,778 and 6,536

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Solution

The third proportional to 2,778 and 6,536 is: 15,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778 : 6,536 = 6,536 : x
  2. Step 2: Convert to fraction form
    2,778/6,536 = 6,536/x
  3. Step 3: Cross multiply
    2,778x = 6,536 × 6,536
  4. Step 4: Simplify right side
    2,778x = 42,719,296
  5. Step 5: Solve for x
    x = 42,719,296/2,778
  6. Step 6: Final answer
    x = 15,377.72

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.