Home / 826.50-1,307.25

Finding the Third Proportional to 826.50 and 1,307.25

Calculator

Solution

The third proportional to 826.50 and 1,307.25 is: 2,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.50 : 1,307.25 = 1,307.25 : x
  2. Step 2: Convert to fraction form
    826.50/1,307.25 = 1,307.25/x
  3. Step 3: Cross multiply
    826.50x = 1,307.25 × 1,307.25
  4. Step 4: Simplify right side
    826.50x = 1,708,902.56
  5. Step 5: Solve for x
    x = 1,708,902.56/826.50
  6. Step 6: Final answer
    x = 2,067.64

Related Problems

Find third proportional to 413.25 and 653.63
Half scale
Find third proportional to 1,653 and 2,614.50
Double scale
Find third proportional to 829 and 1,310
Similar ratio
Find third proportional to 1,239.75 and 1,960.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.