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Finding the Third Proportional to 274.43 and 609.61

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Solution

The third proportional to 274.43 and 609.61 is: 1,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.43 : 609.61 = 609.61 : x
  2. Step 2: Convert to fraction form
    274.43/609.61 = 609.61/x
  3. Step 3: Cross multiply
    274.43x = 609.61 × 609.61
  4. Step 4: Simplify right side
    274.43x = 371,623.59
  5. Step 5: Solve for x
    x = 371,623.59/274.43
  6. Step 6: Final answer
    x = 1,354.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.