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Finding the Third Proportional to 274.57 and 606.80

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Solution

The third proportional to 274.57 and 606.80 is: 1,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.57 : 606.80 = 606.80 : x
  2. Step 2: Convert to fraction form
    274.57/606.80 = 606.80/x
  3. Step 3: Cross multiply
    274.57x = 606.80 × 606.80
  4. Step 4: Simplify right side
    274.57x = 368,202.45
  5. Step 5: Solve for x
    x = 368,202.45/274.57
  6. Step 6: Final answer
    x = 1,341.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.