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Finding the Third Proportional to 1,758.80 and 3,763.55

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Solution

The third proportional to 1,758.80 and 3,763.55 is: 8,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.80 : 3,763.55 = 3,763.55 : x
  2. Step 2: Convert to fraction form
    1,758.80/3,763.55 = 3,763.55/x
  3. Step 3: Cross multiply
    1,758.80x = 3,763.55 × 3,763.55
  4. Step 4: Simplify right side
    1,758.80x = 14,164,285.08
  5. Step 5: Solve for x
    x = 14,164,285.08/1,758.80
  6. Step 6: Final answer
    x = 8,053.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.