Home / 971-1,296

Finding the Third Proportional to 971 and 1,296

Calculator

Solution

The third proportional to 971 and 1,296 is: 1,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    971 : 1,296 = 1,296 : x
  2. Step 2: Convert to fraction form
    971/1,296 = 1,296/x
  3. Step 3: Cross multiply
    971x = 1,296 × 1,296
  4. Step 4: Simplify right side
    971x = 1,679,616
  5. Step 5: Solve for x
    x = 1,679,616/971
  6. Step 6: Final answer
    x = 1,729.78

Related Problems

Find third proportional to 485.50 and 648
Half scale
Find third proportional to 1,942 and 2,592
Double scale
Find third proportional to 973 and 1,299
Similar ratio
Find third proportional to 1,456.50 and 1,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.