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Finding the Third Proportional to 840.66 and 1,762.31

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Solution

The third proportional to 840.66 and 1,762.31 is: 3,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.66 : 1,762.31 = 1,762.31 : x
  2. Step 2: Convert to fraction form
    840.66/1,762.31 = 1,762.31/x
  3. Step 3: Cross multiply
    840.66x = 1,762.31 × 1,762.31
  4. Step 4: Simplify right side
    840.66x = 3,105,745.35
  5. Step 5: Solve for x
    x = 3,105,745.35/840.66
  6. Step 6: Final answer
    x = 3,694.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.