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Finding the Third Proportional to 619.37 and 902.71

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Solution

The third proportional to 619.37 and 902.71 is: 1,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.37 : 902.71 = 902.71 : x
  2. Step 2: Convert to fraction form
    619.37/902.71 = 902.71/x
  3. Step 3: Cross multiply
    619.37x = 902.71 × 902.71
  4. Step 4: Simplify right side
    619.37x = 814,879.98
  5. Step 5: Solve for x
    x = 814,879.98/619.37
  6. Step 6: Final answer
    x = 1,315.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.