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Finding the Third Proportional to 291,296.25 and 393,563.81

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Solution

The third proportional to 291,296.25 and 393,563.81 is: 531,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296.25 : 393,563.81 = 393,563.81 : x
  2. Step 2: Convert to fraction form
    291,296.25/393,563.81 = 393,563.81/x
  3. Step 3: Cross multiply
    291,296.25x = 393,563.81 × 393,563.81
  4. Step 4: Simplify right side
    291,296.25x = 154,892,474,509.54
  5. Step 5: Solve for x
    x = 154,892,474,509.54/291,296.25
  6. Step 6: Final answer
    x = 531,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.