Home / 2,978-4,461

Finding the Third Proportional to 2,978 and 4,461

Calculator

Solution

The third proportional to 2,978 and 4,461 is: 6,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,461 = 4,461 : x
  2. Step 2: Convert to fraction form
    2,978/4,461 = 4,461/x
  3. Step 3: Cross multiply
    2,978x = 4,461 × 4,461
  4. Step 4: Simplify right side
    2,978x = 19,900,521
  5. Step 5: Solve for x
    x = 19,900,521/2,978
  6. Step 6: Final answer
    x = 6,682.51

Related Problems

Find third proportional to 1,489 and 2,230.50
Half scale
Find third proportional to 5,956 and 8,922
Double scale
Find third proportional to 2,980 and 4,464
Similar ratio
Find third proportional to 4,467 and 6,691.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.