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Finding the Third Proportional to 3,816.49 and 8,285.65

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Solution

The third proportional to 3,816.49 and 8,285.65 is: 17,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.49 : 8,285.65 = 8,285.65 : x
  2. Step 2: Convert to fraction form
    3,816.49/8,285.65 = 8,285.65/x
  3. Step 3: Cross multiply
    3,816.49x = 8,285.65 × 8,285.65
  4. Step 4: Simplify right side
    3,816.49x = 68,652,018.58
  5. Step 5: Solve for x
    x = 68,652,018.58/3,816.49
  6. Step 6: Final answer
    x = 17,988.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.