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Finding the Third Proportional to 376.25 and 561.14

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Solution

The third proportional to 376.25 and 561.14 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.25 : 561.14 = 561.14 : x
  2. Step 2: Convert to fraction form
    376.25/561.14 = 561.14/x
  3. Step 3: Cross multiply
    376.25x = 561.14 × 561.14
  4. Step 4: Simplify right side
    376.25x = 314,878.80
  5. Step 5: Solve for x
    x = 314,878.80/376.25
  6. Step 6: Final answer
    x = 836.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.