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Finding the Third Proportional to 6,519.47 and 8,856.09

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Solution

The third proportional to 6,519.47 and 8,856.09 is: 12,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.47 : 8,856.09 = 8,856.09 : x
  2. Step 2: Convert to fraction form
    6,519.47/8,856.09 = 8,856.09/x
  3. Step 3: Cross multiply
    6,519.47x = 8,856.09 × 8,856.09
  4. Step 4: Simplify right side
    6,519.47x = 78,430,396.51
  5. Step 5: Solve for x
    x = 78,430,396.51/6,519.47
  6. Step 6: Final answer
    x = 12,030.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.