Home / 838.69-1,090.13

Finding the Third Proportional to 838.69 and 1,090.13

Calculator

Solution

The third proportional to 838.69 and 1,090.13 is: 1,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.69 : 1,090.13 = 1,090.13 : x
  2. Step 2: Convert to fraction form
    838.69/1,090.13 = 1,090.13/x
  3. Step 3: Cross multiply
    838.69x = 1,090.13 × 1,090.13
  4. Step 4: Simplify right side
    838.69x = 1,188,372.52
  5. Step 5: Solve for x
    x = 1,188,372.52/838.69
  6. Step 6: Final answer
    x = 1,416.94

Related Problems

Find third proportional to 419.34 and 545.06
Half scale
Find third proportional to 1,677.38 and 2,180.25
Double scale
Find third proportional to 841 and 1,093
Similar ratio
Find third proportional to 1,258.03 and 1,635.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.