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Finding the Third Proportional to 384.33 and 828.98

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Solution

The third proportional to 384.33 and 828.98 is: 1,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.33 : 828.98 = 828.98 : x
  2. Step 2: Convert to fraction form
    384.33/828.98 = 828.98/x
  3. Step 3: Cross multiply
    384.33x = 828.98 × 828.98
  4. Step 4: Simplify right side
    384.33x = 687,215.09
  5. Step 5: Solve for x
    x = 687,215.09/384.33
  6. Step 6: Final answer
    x = 1,788.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.