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Finding the Third Proportional to 2,647.69 and 6,543.28

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Solution

The third proportional to 2,647.69 and 6,543.28 is: 16,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.69 : 6,543.28 = 6,543.28 : x
  2. Step 2: Convert to fraction form
    2,647.69/6,543.28 = 6,543.28/x
  3. Step 3: Cross multiply
    2,647.69x = 6,543.28 × 6,543.28
  4. Step 4: Simplify right side
    2,647.69x = 42,814,529.52
  5. Step 5: Solve for x
    x = 42,814,529.52/2,647.69
  6. Step 6: Final answer
    x = 16,170.54

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.