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Finding the Third Proportional to 236.75 and 512.50

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Solution

The third proportional to 236.75 and 512.50 is: 1,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.75 : 512.50 = 512.50 : x
  2. Step 2: Convert to fraction form
    236.75/512.50 = 512.50/x
  3. Step 3: Cross multiply
    236.75x = 512.50 × 512.50
  4. Step 4: Simplify right side
    236.75x = 262,656.25
  5. Step 5: Solve for x
    x = 262,656.25/236.75
  6. Step 6: Final answer
    x = 1,109.42

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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.