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Finding the Third Proportional to 289.62 and 599.48

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Solution

The third proportional to 289.62 and 599.48 is: 1,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.62 : 599.48 = 599.48 : x
  2. Step 2: Convert to fraction form
    289.62/599.48 = 599.48/x
  3. Step 3: Cross multiply
    289.62x = 599.48 × 599.48
  4. Step 4: Simplify right side
    289.62x = 359,381.52
  5. Step 5: Solve for x
    x = 359,381.52/289.62
  6. Step 6: Final answer
    x = 1,240.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.