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Finding the Third Proportional to 376.13 and 770.53

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Solution

The third proportional to 376.13 and 770.53 is: 1,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 770.53 = 770.53 : x
  2. Step 2: Convert to fraction form
    376.13/770.53 = 770.53/x
  3. Step 3: Cross multiply
    376.13x = 770.53 × 770.53
  4. Step 4: Simplify right side
    376.13x = 593,718.41
  5. Step 5: Solve for x
    x = 593,718.41/376.13
  6. Step 6: Final answer
    x = 1,578.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.