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Finding the Third Proportional to 384.43 and 832.94

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Solution

The third proportional to 384.43 and 832.94 is: 1,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.43 : 832.94 = 832.94 : x
  2. Step 2: Convert to fraction form
    384.43/832.94 = 832.94/x
  3. Step 3: Cross multiply
    384.43x = 832.94 × 832.94
  4. Step 4: Simplify right side
    384.43x = 693,788.13
  5. Step 5: Solve for x
    x = 693,788.13/384.43
  6. Step 6: Final answer
    x = 1,804.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.