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Finding the Third Proportional to 272.74 and 589.08

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Solution

The third proportional to 272.74 and 589.08 is: 1,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 589.08 = 589.08 : x
  2. Step 2: Convert to fraction form
    272.74/589.08 = 589.08/x
  3. Step 3: Cross multiply
    272.74x = 589.08 × 589.08
  4. Step 4: Simplify right side
    272.74x = 347,013.04
  5. Step 5: Solve for x
    x = 347,013.04/272.74
  6. Step 6: Final answer
    x = 1,272.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.