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Finding the Third Proportional to 378.42 and 770.77

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Solution

The third proportional to 378.42 and 770.77 is: 1,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.42 : 770.77 = 770.77 : x
  2. Step 2: Convert to fraction form
    378.42/770.77 = 770.77/x
  3. Step 3: Cross multiply
    378.42x = 770.77 × 770.77
  4. Step 4: Simplify right side
    378.42x = 594,079.65
  5. Step 5: Solve for x
    x = 594,079.65/378.42
  6. Step 6: Final answer
    x = 1,569.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.