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Finding the Third Proportional to 570.09 and 823.78

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Solution

The third proportional to 570.09 and 823.78 is: 1,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.09 : 823.78 = 823.78 : x
  2. Step 2: Convert to fraction form
    570.09/823.78 = 823.78/x
  3. Step 3: Cross multiply
    570.09x = 823.78 × 823.78
  4. Step 4: Simplify right side
    570.09x = 678,615.55
  5. Step 5: Solve for x
    x = 678,615.55/570.09
  6. Step 6: Final answer
    x = 1,190.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.