Home / 447.50-978

Finding the Third Proportional to 447.50 and 978

Calculator

Solution

The third proportional to 447.50 and 978 is: 2,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    447.50/978 = 978/x
  3. Step 3: Cross multiply
    447.50x = 978 × 978
  4. Step 4: Simplify right side
    447.50x = 956,484
  5. Step 5: Solve for x
    x = 956,484/447.50
  6. Step 6: Final answer
    x = 2,137.39

Related Problems

Find third proportional to 223.75 and 489
Half scale
Find third proportional to 895 and 1,956
Double scale
Find third proportional to 450 and 982
Similar ratio
Find third proportional to 671.25 and 1,467
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.