Home / 1,237-1,866

Finding the Third Proportional to 1,237 and 1,866

Calculator

Solution

The third proportional to 1,237 and 1,866 is: 2,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237 : 1,866 = 1,866 : x
  2. Step 2: Convert to fraction form
    1,237/1,866 = 1,866/x
  3. Step 3: Cross multiply
    1,237x = 1,866 × 1,866
  4. Step 4: Simplify right side
    1,237x = 3,481,956
  5. Step 5: Solve for x
    x = 3,481,956/1,237
  6. Step 6: Final answer
    x = 2,814.84

Related Problems

Find third proportional to 618.50 and 933
Half scale
Find third proportional to 2,474 and 3,732
Double scale
Find third proportional to 1,239 and 1,869
Similar ratio
Find third proportional to 1,855.50 and 2,799
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.