Home / 923-1,214

Finding the Third Proportional to 923 and 1,214

Calculator

Solution

The third proportional to 923 and 1,214 is: 1,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923 : 1,214 = 1,214 : x
  2. Step 2: Convert to fraction form
    923/1,214 = 1,214/x
  3. Step 3: Cross multiply
    923x = 1,214 × 1,214
  4. Step 4: Simplify right side
    923x = 1,473,796
  5. Step 5: Solve for x
    x = 1,473,796/923
  6. Step 6: Final answer
    x = 1,596.75

Related Problems

Find third proportional to 461.50 and 607
Half scale
Find third proportional to 1,846 and 2,428
Double scale
Find third proportional to 925 and 1,217
Similar ratio
Find third proportional to 1,384.50 and 1,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.