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Finding the Third Proportional to 511.88 and 1,112.34

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Solution

The third proportional to 511.88 and 1,112.34 is: 2,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.88 : 1,112.34 = 1,112.34 : x
  2. Step 2: Convert to fraction form
    511.88/1,112.34 = 1,112.34/x
  3. Step 3: Cross multiply
    511.88x = 1,112.34 × 1,112.34
  4. Step 4: Simplify right side
    511.88x = 1,237,308.62
  5. Step 5: Solve for x
    x = 1,237,308.62/511.88
  6. Step 6: Final answer
    x = 2,417.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.