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Finding the Third Proportional to 865.94 and 1,782.94

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Solution

The third proportional to 865.94 and 1,782.94 is: 3,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,782.94 = 1,782.94 : x
  2. Step 2: Convert to fraction form
    865.94/1,782.94 = 1,782.94/x
  3. Step 3: Cross multiply
    865.94x = 1,782.94 × 1,782.94
  4. Step 4: Simplify right side
    865.94x = 3,178,866.13
  5. Step 5: Solve for x
    x = 3,178,866.13/865.94
  6. Step 6: Final answer
    x = 3,671.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.