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Finding the Third Proportional to 6,820.49 and 9,165.54

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Solution

The third proportional to 6,820.49 and 9,165.54 is: 12,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.49 : 9,165.54 = 9,165.54 : x
  2. Step 2: Convert to fraction form
    6,820.49/9,165.54 = 9,165.54/x
  3. Step 3: Cross multiply
    6,820.49x = 9,165.54 × 9,165.54
  4. Step 4: Simplify right side
    6,820.49x = 84,007,079.45
  5. Step 5: Solve for x
    x = 84,007,079.45/6,820.49
  6. Step 6: Final answer
    x = 12,316.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.