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Finding the Third Proportional to 774.84 and 1,185.05

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Solution

The third proportional to 774.84 and 1,185.05 is: 1,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.84 : 1,185.05 = 1,185.05 : x
  2. Step 2: Convert to fraction form
    774.84/1,185.05 = 1,185.05/x
  3. Step 3: Cross multiply
    774.84x = 1,185.05 × 1,185.05
  4. Step 4: Simplify right side
    774.84x = 1,404,336.10
  5. Step 5: Solve for x
    x = 1,404,336.10/774.84
  6. Step 6: Final answer
    x = 1,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.