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Finding the Third Proportional to 375.05 and 774.21

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Solution

The third proportional to 375.05 and 774.21 is: 1,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.05 : 774.21 = 774.21 : x
  2. Step 2: Convert to fraction form
    375.05/774.21 = 774.21/x
  3. Step 3: Cross multiply
    375.05x = 774.21 × 774.21
  4. Step 4: Simplify right side
    375.05x = 599,402.58
  5. Step 5: Solve for x
    x = 599,402.58/375.05
  6. Step 6: Final answer
    x = 1,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.