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Finding the Third Proportional to 774.56 and 1,731.38

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Solution

The third proportional to 774.56 and 1,731.38 is: 3,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.56 : 1,731.38 = 1,731.38 : x
  2. Step 2: Convert to fraction form
    774.56/1,731.38 = 1,731.38/x
  3. Step 3: Cross multiply
    774.56x = 1,731.38 × 1,731.38
  4. Step 4: Simplify right side
    774.56x = 2,997,659.39
  5. Step 5: Solve for x
    x = 2,997,659.39/774.56
  6. Step 6: Final answer
    x = 3,870.13

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.