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Finding the Third Proportional to 830.44 and 1,780.97

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Solution

The third proportional to 830.44 and 1,780.97 is: 3,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,780.97 = 1,780.97 : x
  2. Step 2: Convert to fraction form
    830.44/1,780.97 = 1,780.97/x
  3. Step 3: Cross multiply
    830.44x = 1,780.97 × 1,780.97
  4. Step 4: Simplify right side
    830.44x = 3,171,849.69
  5. Step 5: Solve for x
    x = 3,171,849.69/830.44
  6. Step 6: Final answer
    x = 3,819.49

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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.