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Finding the Third Proportional to 945.11 and 2,051.26

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Solution

The third proportional to 945.11 and 2,051.26 is: 4,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.11 : 2,051.26 = 2,051.26 : x
  2. Step 2: Convert to fraction form
    945.11/2,051.26 = 2,051.26/x
  3. Step 3: Cross multiply
    945.11x = 2,051.26 × 2,051.26
  4. Step 4: Simplify right side
    945.11x = 4,207,674.64
  5. Step 5: Solve for x
    x = 4,207,674.64/945.11
  6. Step 6: Final answer
    x = 4,452.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.