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Finding the Third Proportional to 289.25 and 429.13

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Solution

The third proportional to 289.25 and 429.13 is: 636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 429.13 = 429.13 : x
  2. Step 2: Convert to fraction form
    289.25/429.13 = 429.13/x
  3. Step 3: Cross multiply
    289.25x = 429.13 × 429.13
  4. Step 4: Simplify right side
    289.25x = 184,148.27
  5. Step 5: Solve for x
    x = 184,148.27/289.25
  6. Step 6: Final answer
    x = 636.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.