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Finding the Third Proportional to 515.48 and 1,112.34

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Solution

The third proportional to 515.48 and 1,112.34 is: 2,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.48 : 1,112.34 = 1,112.34 : x
  2. Step 2: Convert to fraction form
    515.48/1,112.34 = 1,112.34/x
  3. Step 3: Cross multiply
    515.48x = 1,112.34 × 1,112.34
  4. Step 4: Simplify right side
    515.48x = 1,237,308.62
  5. Step 5: Solve for x
    x = 1,237,308.62/515.48
  6. Step 6: Final answer
    x = 2,400.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.