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Finding the Third Proportional to 369.19 and 803.44

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Solution

The third proportional to 369.19 and 803.44 is: 1,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.19 : 803.44 = 803.44 : x
  2. Step 2: Convert to fraction form
    369.19/803.44 = 803.44/x
  3. Step 3: Cross multiply
    369.19x = 803.44 × 803.44
  4. Step 4: Simplify right side
    369.19x = 645,511.82
  5. Step 5: Solve for x
    x = 645,511.82/369.19
  6. Step 6: Final answer
    x = 1,748.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.