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Finding the Third Proportional to 270.21 and 589.15

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Solution

The third proportional to 270.21 and 589.15 is: 1,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.21 : 589.15 = 589.15 : x
  2. Step 2: Convert to fraction form
    270.21/589.15 = 589.15/x
  3. Step 3: Cross multiply
    270.21x = 589.15 × 589.15
  4. Step 4: Simplify right side
    270.21x = 347,095.88
  5. Step 5: Solve for x
    x = 347,095.88/270.21
  6. Step 6: Final answer
    x = 1,284.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.