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Finding the Third Proportional to 283.88 and 434.06

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Solution

The third proportional to 283.88 and 434.06 is: 663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.88 : 434.06 = 434.06 : x
  2. Step 2: Convert to fraction form
    283.88/434.06 = 434.06/x
  3. Step 3: Cross multiply
    283.88x = 434.06 × 434.06
  4. Step 4: Simplify right side
    283.88x = 188,410.25
  5. Step 5: Solve for x
    x = 188,410.25/283.88
  6. Step 6: Final answer
    x = 663.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.