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Finding the Third Proportional to 6,447.38 and 8,699.06

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Solution

The third proportional to 6,447.38 and 8,699.06 is: 11,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.38 : 8,699.06 = 8,699.06 : x
  2. Step 2: Convert to fraction form
    6,447.38/8,699.06 = 8,699.06/x
  3. Step 3: Cross multiply
    6,447.38x = 8,699.06 × 8,699.06
  4. Step 4: Simplify right side
    6,447.38x = 75,673,688.38
  5. Step 5: Solve for x
    x = 75,673,688.38/6,447.38
  6. Step 6: Final answer
    x = 11,737.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.