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Finding the Third Proportional to 280.69 and 435.66

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Solution

The third proportional to 280.69 and 435.66 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 435.66 = 435.66 : x
  2. Step 2: Convert to fraction form
    280.69/435.66 = 435.66/x
  3. Step 3: Cross multiply
    280.69x = 435.66 × 435.66
  4. Step 4: Simplify right side
    280.69x = 189,796.37
  5. Step 5: Solve for x
    x = 189,796.37/280.69
  6. Step 6: Final answer
    x = 676.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.