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Finding the Third Proportional to 289.72 and 634.18

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Solution

The third proportional to 289.72 and 634.18 is: 1,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.72 : 634.18 = 634.18 : x
  2. Step 2: Convert to fraction form
    289.72/634.18 = 634.18/x
  3. Step 3: Cross multiply
    289.72x = 634.18 × 634.18
  4. Step 4: Simplify right side
    289.72x = 402,188.83
  5. Step 5: Solve for x
    x = 402,188.83/289.72
  6. Step 6: Final answer
    x = 1,388.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.