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Finding the Third Proportional to 818.23 and 1,516.85

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Solution

The third proportional to 818.23 and 1,516.85 is: 2,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.23 : 1,516.85 = 1,516.85 : x
  2. Step 2: Convert to fraction form
    818.23/1,516.85 = 1,516.85/x
  3. Step 3: Cross multiply
    818.23x = 1,516.85 × 1,516.85
  4. Step 4: Simplify right side
    818.23x = 2,300,838.66
  5. Step 5: Solve for x
    x = 2,300,838.66/818.23
  6. Step 6: Final answer
    x = 2,811.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.