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Finding the Third Proportional to 1,819.65 and 3,902.00

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Solution

The third proportional to 1,819.65 and 3,902.00 is: 8,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.65 : 3,902.00 = 3,902.00 : x
  2. Step 2: Convert to fraction form
    1,819.65/3,902.00 = 3,902.00/x
  3. Step 3: Cross multiply
    1,819.65x = 3,902.00 × 3,902.00
  4. Step 4: Simplify right side
    1,819.65x = 15,225,611.62
  5. Step 5: Solve for x
    x = 15,225,611.62/1,819.65
  6. Step 6: Final answer
    x = 8,367.32

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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.