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Finding the Third Proportional to 385.74 and 833.18

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Solution

The third proportional to 385.74 and 833.18 is: 1,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 833.18 = 833.18 : x
  2. Step 2: Convert to fraction form
    385.74/833.18 = 833.18/x
  3. Step 3: Cross multiply
    385.74x = 833.18 × 833.18
  4. Step 4: Simplify right side
    385.74x = 694,183.51
  5. Step 5: Solve for x
    x = 694,183.51/385.74
  6. Step 6: Final answer
    x = 1,799.62

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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.