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Finding the Third Proportional to 350.91 and 811.03

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Solution

The third proportional to 350.91 and 811.03 is: 1,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.91 : 811.03 = 811.03 : x
  2. Step 2: Convert to fraction form
    350.91/811.03 = 811.03/x
  3. Step 3: Cross multiply
    350.91x = 811.03 × 811.03
  4. Step 4: Simplify right side
    350.91x = 657,771.69
  5. Step 5: Solve for x
    x = 657,771.69/350.91
  6. Step 6: Final answer
    x = 1,874.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.