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Finding the Third Proportional to 432.98 and 774.11

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Solution

The third proportional to 432.98 and 774.11 is: 1,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 774.11 = 774.11 : x
  2. Step 2: Convert to fraction form
    432.98/774.11 = 774.11/x
  3. Step 3: Cross multiply
    432.98x = 774.11 × 774.11
  4. Step 4: Simplify right side
    432.98x = 599,239.28
  5. Step 5: Solve for x
    x = 599,239.28/432.98
  6. Step 6: Final answer
    x = 1,383.97

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.