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Finding the Third Proportional to 289.35 and 624.97

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Solution

The third proportional to 289.35 and 624.97 is: 1,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 624.97 = 624.97 : x
  2. Step 2: Convert to fraction form
    289.35/624.97 = 624.97/x
  3. Step 3: Cross multiply
    289.35x = 624.97 × 624.97
  4. Step 4: Simplify right side
    289.35x = 390,589.45
  5. Step 5: Solve for x
    x = 390,589.45/289.35
  6. Step 6: Final answer
    x = 1,349.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.