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Finding the Third Proportional to 274.38 and 655.81

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Solution

The third proportional to 274.38 and 655.81 is: 1,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.38 : 655.81 = 655.81 : x
  2. Step 2: Convert to fraction form
    274.38/655.81 = 655.81/x
  3. Step 3: Cross multiply
    274.38x = 655.81 × 655.81
  4. Step 4: Simplify right side
    274.38x = 430,090.04
  5. Step 5: Solve for x
    x = 430,090.04/274.38
  6. Step 6: Final answer
    x = 1,567.53

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.