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Finding the Third Proportional to 753.75 and 1,968.75

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Solution

The third proportional to 753.75 and 1,968.75 is: 5,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.75 : 1,968.75 = 1,968.75 : x
  2. Step 2: Convert to fraction form
    753.75/1,968.75 = 1,968.75/x
  3. Step 3: Cross multiply
    753.75x = 1,968.75 × 1,968.75
  4. Step 4: Simplify right side
    753.75x = 3,875,976.56
  5. Step 5: Solve for x
    x = 3,875,976.56/753.75
  6. Step 6: Final answer
    x = 5,142.26

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.