Home / 353-826.50

Finding the Third Proportional to 353 and 826.50

Calculator

Solution

The third proportional to 353 and 826.50 is: 1,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    353 : 826.50 = 826.50 : x
  2. Step 2: Convert to fraction form
    353/826.50 = 826.50/x
  3. Step 3: Cross multiply
    353x = 826.50 × 826.50
  4. Step 4: Simplify right side
    353x = 683,102.25
  5. Step 5: Solve for x
    x = 683,102.25/353
  6. Step 6: Final answer
    x = 1,935.13

Related Problems

Find third proportional to 176.50 and 413.25
Half scale
Find third proportional to 706 and 1,653
Double scale
Find third proportional to 355 and 831
Similar ratio
Find third proportional to 529.50 and 1,239.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.