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Finding the Third Proportional to 402.89 and 792.49

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Solution

The third proportional to 402.89 and 792.49 is: 1,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 792.49 = 792.49 : x
  2. Step 2: Convert to fraction form
    402.89/792.49 = 792.49/x
  3. Step 3: Cross multiply
    402.89x = 792.49 × 792.49
  4. Step 4: Simplify right side
    402.89x = 628,043.87
  5. Step 5: Solve for x
    x = 628,043.87/402.89
  6. Step 6: Final answer
    x = 1,558.84

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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.