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Finding the Third Proportional to 511.45 and 1,119.94

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Solution

The third proportional to 511.45 and 1,119.94 is: 2,452.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 1,119.94 = 1,119.94 : x
  2. Step 2: Convert to fraction form
    511.45/1,119.94 = 1,119.94/x
  3. Step 3: Cross multiply
    511.45x = 1,119.94 × 1,119.94
  4. Step 4: Simplify right side
    511.45x = 1,254,260.00
  5. Step 5: Solve for x
    x = 1,254,260.00/511.45
  6. Step 6: Final answer
    x = 2,452.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.