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Finding the Third Proportional to 779.75 and 1,185.75

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Solution

The third proportional to 779.75 and 1,185.75 is: 1,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.75 : 1,185.75 = 1,185.75 : x
  2. Step 2: Convert to fraction form
    779.75/1,185.75 = 1,185.75/x
  3. Step 3: Cross multiply
    779.75x = 1,185.75 × 1,185.75
  4. Step 4: Simplify right side
    779.75x = 1,406,003.06
  5. Step 5: Solve for x
    x = 1,406,003.06/779.75
  6. Step 6: Final answer
    x = 1,803.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.