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Finding the Third Proportional to 1,762.82 and 3,871.65

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Solution

The third proportional to 1,762.82 and 3,871.65 is: 8,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.82 : 3,871.65 = 3,871.65 : x
  2. Step 2: Convert to fraction form
    1,762.82/3,871.65 = 3,871.65/x
  3. Step 3: Cross multiply
    1,762.82x = 3,871.65 × 3,871.65
  4. Step 4: Simplify right side
    1,762.82x = 14,989,640.83
  5. Step 5: Solve for x
    x = 14,989,640.83/1,762.82
  6. Step 6: Final answer
    x = 8,503.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.