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Finding the Third Proportional to 685.69 and 1,482.19

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Solution

The third proportional to 685.69 and 1,482.19 is: 3,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.69 : 1,482.19 = 1,482.19 : x
  2. Step 2: Convert to fraction form
    685.69/1,482.19 = 1,482.19/x
  3. Step 3: Cross multiply
    685.69x = 1,482.19 × 1,482.19
  4. Step 4: Simplify right side
    685.69x = 2,196,879.79
  5. Step 5: Solve for x
    x = 2,196,879.79/685.69
  6. Step 6: Final answer
    x = 3,203.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.