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Finding the Third Proportional to 283.63 and 429.69

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Solution

The third proportional to 283.63 and 429.69 is: 650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.63 : 429.69 = 429.69 : x
  2. Step 2: Convert to fraction form
    283.63/429.69 = 429.69/x
  3. Step 3: Cross multiply
    283.63x = 429.69 × 429.69
  4. Step 4: Simplify right side
    283.63x = 184,631.35
  5. Step 5: Solve for x
    x = 184,631.35/283.63
  6. Step 6: Final answer
    x = 650.97

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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.