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Finding the Third Proportional to 270.09 and 589.03

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Solution

The third proportional to 270.09 and 589.03 is: 1,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.09 : 589.03 = 589.03 : x
  2. Step 2: Convert to fraction form
    270.09/589.03 = 589.03/x
  3. Step 3: Cross multiply
    270.09x = 589.03 × 589.03
  4. Step 4: Simplify right side
    270.09x = 346,957.81
  5. Step 5: Solve for x
    x = 346,957.81/270.09
  6. Step 6: Final answer
    x = 1,284.58

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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.