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Finding the Third Proportional to 640.83 and 1,262.67

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Solution

The third proportional to 640.83 and 1,262.67 is: 2,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.83 : 1,262.67 = 1,262.67 : x
  2. Step 2: Convert to fraction form
    640.83/1,262.67 = 1,262.67/x
  3. Step 3: Cross multiply
    640.83x = 1,262.67 × 1,262.67
  4. Step 4: Simplify right side
    640.83x = 1,594,340.26
  5. Step 5: Solve for x
    x = 1,594,340.26/640.83
  6. Step 6: Final answer
    x = 2,487.94

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.