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Finding the Third Proportional to 1,450.13 and 3,364.31

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Solution

The third proportional to 1,450.13 and 3,364.31 is: 7,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.13 : 3,364.31 = 3,364.31 : x
  2. Step 2: Convert to fraction form
    1,450.13/3,364.31 = 3,364.31/x
  3. Step 3: Cross multiply
    1,450.13x = 3,364.31 × 3,364.31
  4. Step 4: Simplify right side
    1,450.13x = 11,318,598.60
  5. Step 5: Solve for x
    x = 11,318,598.60/1,450.13
  6. Step 6: Final answer
    x = 7,805.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.