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Finding the Third Proportional to 919.13 and 2,020.50

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Solution

The third proportional to 919.13 and 2,020.50 is: 4,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.13 : 2,020.50 = 2,020.50 : x
  2. Step 2: Convert to fraction form
    919.13/2,020.50 = 2,020.50/x
  3. Step 3: Cross multiply
    919.13x = 2,020.50 × 2,020.50
  4. Step 4: Simplify right side
    919.13x = 4,082,420.25
  5. Step 5: Solve for x
    x = 4,082,420.25/919.13
  6. Step 6: Final answer
    x = 4,441.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.