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Finding the Third Proportional to 511.79 and 1,126.09

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Solution

The third proportional to 511.79 and 1,126.09 is: 2,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.79 : 1,126.09 = 1,126.09 : x
  2. Step 2: Convert to fraction form
    511.79/1,126.09 = 1,126.09/x
  3. Step 3: Cross multiply
    511.79x = 1,126.09 × 1,126.09
  4. Step 4: Simplify right side
    511.79x = 1,268,078.34
  5. Step 5: Solve for x
    x = 1,268,078.34/511.79
  6. Step 6: Final answer
    x = 2,477.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.