Home / 967.78-1,414.13

Finding the Third Proportional to 967.78 and 1,414.13

Calculator

Solution

The third proportional to 967.78 and 1,414.13 is: 2,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.78 : 1,414.13 = 1,414.13 : x
  2. Step 2: Convert to fraction form
    967.78/1,414.13 = 1,414.13/x
  3. Step 3: Cross multiply
    967.78x = 1,414.13 × 1,414.13
  4. Step 4: Simplify right side
    967.78x = 1,999,749.52
  5. Step 5: Solve for x
    x = 1,999,749.52/967.78
  6. Step 6: Final answer
    x = 2,066.32

Related Problems

Find third proportional to 483.89 and 707.06
Half scale
Find third proportional to 1,935.56 and 2,828.25
Double scale
Find third proportional to 970 and 1,417
Similar ratio
Find third proportional to 1,451.67 and 2,121.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.