Home / 1,197-1,287

Finding the Third Proportional to 1,197 and 1,287

Calculator

Solution

The third proportional to 1,197 and 1,287 is: 1,383.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197 : 1,287 = 1,287 : x
  2. Step 2: Convert to fraction form
    1,197/1,287 = 1,287/x
  3. Step 3: Cross multiply
    1,197x = 1,287 × 1,287
  4. Step 4: Simplify right side
    1,197x = 1,656,369
  5. Step 5: Solve for x
    x = 1,656,369/1,197
  6. Step 6: Final answer
    x = 1,383.77

Related Problems

Find third proportional to 598.50 and 643.50
Half scale
Find third proportional to 2,394 and 2,574
Double scale
Find third proportional to 1,199 and 1,289
Similar ratio
Find third proportional to 1,795.50 and 1,930.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.