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Finding the Third Proportional to 289.75 and 624.25

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Solution

The third proportional to 289.75 and 624.25 is: 1,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.75 : 624.25 = 624.25 : x
  2. Step 2: Convert to fraction form
    289.75/624.25 = 624.25/x
  3. Step 3: Cross multiply
    289.75x = 624.25 × 624.25
  4. Step 4: Simplify right side
    289.75x = 389,688.06
  5. Step 5: Solve for x
    x = 389,688.06/289.75
  6. Step 6: Final answer
    x = 1,344.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.