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Finding the Third Proportional to 274.90 and 561.04

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Solution

The third proportional to 274.90 and 561.04 is: 1,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.90 : 561.04 = 561.04 : x
  2. Step 2: Convert to fraction form
    274.90/561.04 = 561.04/x
  3. Step 3: Cross multiply
    274.90x = 561.04 × 561.04
  4. Step 4: Simplify right side
    274.90x = 314,767.02
  5. Step 5: Solve for x
    x = 314,767.02/274.90
  6. Step 6: Final answer
    x = 1,145.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.