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Finding the Third Proportional to 570.16 and 858.09

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Solution

The third proportional to 570.16 and 858.09 is: 1,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.16 : 858.09 = 858.09 : x
  2. Step 2: Convert to fraction form
    570.16/858.09 = 858.09/x
  3. Step 3: Cross multiply
    570.16x = 858.09 × 858.09
  4. Step 4: Simplify right side
    570.16x = 736,324.88
  5. Step 5: Solve for x
    x = 736,324.88/570.16
  6. Step 6: Final answer
    x = 1,291.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.