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Finding the Third Proportional to 280.69 and 434.53

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Solution

The third proportional to 280.69 and 434.53 is: 672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.69 : 434.53 = 434.53 : x
  2. Step 2: Convert to fraction form
    280.69/434.53 = 434.53/x
  3. Step 3: Cross multiply
    280.69x = 434.53 × 434.53
  4. Step 4: Simplify right side
    280.69x = 188,817.41
  5. Step 5: Solve for x
    x = 188,817.41/280.69
  6. Step 6: Final answer
    x = 672.70

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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.