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Finding the Third Proportional to 570.94 and 771.47

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Solution

The third proportional to 570.94 and 771.47 is: 1,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.94 : 771.47 = 771.47 : x
  2. Step 2: Convert to fraction form
    570.94/771.47 = 771.47/x
  3. Step 3: Cross multiply
    570.94x = 771.47 × 771.47
  4. Step 4: Simplify right side
    570.94x = 595,164.03
  5. Step 5: Solve for x
    x = 595,164.03/570.94
  6. Step 6: Final answer
    x = 1,042.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.