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Finding the Third Proportional to 858.09 and 1,226.87

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Solution

The third proportional to 858.09 and 1,226.87 is: 1,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.09 : 1,226.87 = 1,226.87 : x
  2. Step 2: Convert to fraction form
    858.09/1,226.87 = 1,226.87/x
  3. Step 3: Cross multiply
    858.09x = 1,226.87 × 1,226.87
  4. Step 4: Simplify right side
    858.09x = 1,505,198.30
  5. Step 5: Solve for x
    x = 1,505,198.30/858.09
  6. Step 6: Final answer
    x = 1,754.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.