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Finding the Third Proportional to 570.69 and 862.21

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Solution

The third proportional to 570.69 and 862.21 is: 1,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 862.21 = 862.21 : x
  2. Step 2: Convert to fraction form
    570.69/862.21 = 862.21/x
  3. Step 3: Cross multiply
    570.69x = 862.21 × 862.21
  4. Step 4: Simplify right side
    570.69x = 743,400.96
  5. Step 5: Solve for x
    x = 743,400.96/570.69
  6. Step 6: Final answer
    x = 1,302.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.