Home / 823.50-1,257

Finding the Third Proportional to 823.50 and 1,257

Calculator

Solution

The third proportional to 823.50 and 1,257 is: 1,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,257 = 1,257 : x
  2. Step 2: Convert to fraction form
    823.50/1,257 = 1,257/x
  3. Step 3: Cross multiply
    823.50x = 1,257 × 1,257
  4. Step 4: Simplify right side
    823.50x = 1,580,049
  5. Step 5: Solve for x
    x = 1,580,049/823.50
  6. Step 6: Final answer
    x = 1,918.70

Related Problems

Find third proportional to 411.75 and 628.50
Half scale
Find third proportional to 1,647 and 2,514
Double scale
Find third proportional to 826 and 1,260
Similar ratio
Find third proportional to 1,235.25 and 1,885.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.