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Finding the Third Proportional to 283.69 and 427.13

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Solution

The third proportional to 283.69 and 427.13 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.69 : 427.13 = 427.13 : x
  2. Step 2: Convert to fraction form
    283.69/427.13 = 427.13/x
  3. Step 3: Cross multiply
    283.69x = 427.13 × 427.13
  4. Step 4: Simplify right side
    283.69x = 182,435.77
  5. Step 5: Solve for x
    x = 182,435.77/283.69
  6. Step 6: Final answer
    x = 643.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.