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Finding the Third Proportional to 366.16 and 805.65

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Solution

The third proportional to 366.16 and 805.65 is: 1,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.16 : 805.65 = 805.65 : x
  2. Step 2: Convert to fraction form
    366.16/805.65 = 805.65/x
  3. Step 3: Cross multiply
    366.16x = 805.65 × 805.65
  4. Step 4: Simplify right side
    366.16x = 649,070.98
  5. Step 5: Solve for x
    x = 649,070.98/366.16
  6. Step 6: Final answer
    x = 1,772.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.