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Finding the Third Proportional to 270.30 and 589.26

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Solution

The third proportional to 270.30 and 589.26 is: 1,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 589.26 = 589.26 : x
  2. Step 2: Convert to fraction form
    270.30/589.26 = 589.26/x
  3. Step 3: Cross multiply
    270.30x = 589.26 × 589.26
  4. Step 4: Simplify right side
    270.30x = 347,232.79
  5. Step 5: Solve for x
    x = 347,232.79/270.30
  6. Step 6: Final answer
    x = 1,284.60

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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.