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Finding the Third Proportional to 5,612.73 and 8,380.65

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Solution

The third proportional to 5,612.73 and 8,380.65 is: 12,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.73 : 8,380.65 = 8,380.65 : x
  2. Step 2: Convert to fraction form
    5,612.73/8,380.65 = 8,380.65/x
  3. Step 3: Cross multiply
    5,612.73x = 8,380.65 × 8,380.65
  4. Step 4: Simplify right side
    5,612.73x = 70,235,333.71
  5. Step 5: Solve for x
    x = 70,235,333.71/5,612.73
  6. Step 6: Final answer
    x = 12,513.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.