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Finding the Third Proportional to 379.69 and 830.36

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Solution

The third proportional to 379.69 and 830.36 is: 1,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.69 : 830.36 = 830.36 : x
  2. Step 2: Convert to fraction form
    379.69/830.36 = 830.36/x
  3. Step 3: Cross multiply
    379.69x = 830.36 × 830.36
  4. Step 4: Simplify right side
    379.69x = 689,490.20
  5. Step 5: Solve for x
    x = 689,490.20/379.69
  6. Step 6: Final answer
    x = 1,815.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.