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Finding the Third Proportional to 703.75 and 778.75

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Solution

The third proportional to 703.75 and 778.75 is: 861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.75 : 778.75 = 778.75 : x
  2. Step 2: Convert to fraction form
    703.75/778.75 = 778.75/x
  3. Step 3: Cross multiply
    703.75x = 778.75 × 778.75
  4. Step 4: Simplify right side
    703.75x = 606,451.56
  5. Step 5: Solve for x
    x = 606,451.56/703.75
  6. Step 6: Final answer
    x = 861.74

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.