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Finding the Third Proportional to 679.50 and 804.94

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Solution

The third proportional to 679.50 and 804.94 is: 953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.50 : 804.94 = 804.94 : x
  2. Step 2: Convert to fraction form
    679.50/804.94 = 804.94/x
  3. Step 3: Cross multiply
    679.50x = 804.94 × 804.94
  4. Step 4: Simplify right side
    679.50x = 647,924.38
  5. Step 5: Solve for x
    x = 647,924.38/679.50
  6. Step 6: Final answer
    x = 953.53

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.