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Finding the Third Proportional to 571.69 and 811.03

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Solution

The third proportional to 571.69 and 811.03 is: 1,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.69 : 811.03 = 811.03 : x
  2. Step 2: Convert to fraction form
    571.69/811.03 = 811.03/x
  3. Step 3: Cross multiply
    571.69x = 811.03 × 811.03
  4. Step 4: Simplify right side
    571.69x = 657,771.69
  5. Step 5: Solve for x
    x = 657,771.69/571.69
  6. Step 6: Final answer
    x = 1,150.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.