Home / 906-1,214

Finding the Third Proportional to 906 and 1,214

Calculator

Solution

The third proportional to 906 and 1,214 is: 1,626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    906 : 1,214 = 1,214 : x
  2. Step 2: Convert to fraction form
    906/1,214 = 1,214/x
  3. Step 3: Cross multiply
    906x = 1,214 × 1,214
  4. Step 4: Simplify right side
    906x = 1,473,796
  5. Step 5: Solve for x
    x = 1,473,796/906
  6. Step 6: Final answer
    x = 1,626.71

Related Problems

Find third proportional to 453 and 607
Half scale
Find third proportional to 1,812 and 2,428
Double scale
Find third proportional to 908 and 1,217
Similar ratio
Find third proportional to 1,359 and 1,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.