Home / 613.83-842.91

Finding the Third Proportional to 613.83 and 842.91

Calculator

Solution

The third proportional to 613.83 and 842.91 is: 1,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 842.91 = 842.91 : x
  2. Step 2: Convert to fraction form
    613.83/842.91 = 842.91/x
  3. Step 3: Cross multiply
    613.83x = 842.91 × 842.91
  4. Step 4: Simplify right side
    613.83x = 710,490.95
  5. Step 5: Solve for x
    x = 710,490.95/613.83
  6. Step 6: Final answer
    x = 1,157.48

Related Problems

Find third proportional to 306.91 and 421.45
Half scale
Find third proportional to 1,227.66 and 1,685.81
Double scale
Find third proportional to 616 and 846
Similar ratio
Find third proportional to 920.74 and 1,264.36
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.