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Finding the Third Proportional to 292.20 and 628.54

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Solution

The third proportional to 292.20 and 628.54 is: 1,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 628.54 = 628.54 : x
  2. Step 2: Convert to fraction form
    292.20/628.54 = 628.54/x
  3. Step 3: Cross multiply
    292.20x = 628.54 × 628.54
  4. Step 4: Simplify right side
    292.20x = 395,063.81
  5. Step 5: Solve for x
    x = 395,063.81/292.20
  6. Step 6: Final answer
    x = 1,352.03

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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.