Home / 1,506-2,251

Finding the Third Proportional to 1,506 and 2,251

Calculator

Solution

The third proportional to 1,506 and 2,251 is: 3,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506 : 2,251 = 2,251 : x
  2. Step 2: Convert to fraction form
    1,506/2,251 = 2,251/x
  3. Step 3: Cross multiply
    1,506x = 2,251 × 2,251
  4. Step 4: Simplify right side
    1,506x = 5,067,001
  5. Step 5: Solve for x
    x = 5,067,001/1,506
  6. Step 6: Final answer
    x = 3,364.54

Related Problems

Find third proportional to 753 and 1,125.50
Half scale
Find third proportional to 3,012 and 4,502
Double scale
Find third proportional to 1,508 and 2,254
Similar ratio
Find third proportional to 2,259 and 3,376.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.