Home / 1,461-2,237

Finding the Third Proportional to 1,461 and 2,237

Calculator

Solution

The third proportional to 1,461 and 2,237 is: 3,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461 : 2,237 = 2,237 : x
  2. Step 2: Convert to fraction form
    1,461/2,237 = 2,237/x
  3. Step 3: Cross multiply
    1,461x = 2,237 × 2,237
  4. Step 4: Simplify right side
    1,461x = 5,004,169
  5. Step 5: Solve for x
    x = 5,004,169/1,461
  6. Step 6: Final answer
    x = 3,425.17

Related Problems

Find third proportional to 730.50 and 1,118.50
Half scale
Find third proportional to 2,922 and 4,474
Double scale
Find third proportional to 1,463 and 2,240
Similar ratio
Find third proportional to 2,191.50 and 3,355.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.