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Finding the Third Proportional to 289.22 and 429.61

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Solution

The third proportional to 289.22 and 429.61 is: 638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.22 : 429.61 = 429.61 : x
  2. Step 2: Convert to fraction form
    289.22/429.61 = 429.61/x
  3. Step 3: Cross multiply
    289.22x = 429.61 × 429.61
  4. Step 4: Simplify right side
    289.22x = 184,564.22
  5. Step 5: Solve for x
    x = 184,564.22/289.22
  6. Step 6: Final answer
    x = 638.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.