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Finding the Third Proportional to 919.75 and 1,930.75

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Solution

The third proportional to 919.75 and 1,930.75 is: 4,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.75 : 1,930.75 = 1,930.75 : x
  2. Step 2: Convert to fraction form
    919.75/1,930.75 = 1,930.75/x
  3. Step 3: Cross multiply
    919.75x = 1,930.75 × 1,930.75
  4. Step 4: Simplify right side
    919.75x = 3,727,795.56
  5. Step 5: Solve for x
    x = 3,727,795.56/919.75
  6. Step 6: Final answer
    x = 4,053.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.