Home / 758-978

Finding the Third Proportional to 758 and 978

Calculator

Solution

The third proportional to 758 and 978 is: 1,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    758 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    758/978 = 978/x
  3. Step 3: Cross multiply
    758x = 978 × 978
  4. Step 4: Simplify right side
    758x = 956,484
  5. Step 5: Solve for x
    x = 956,484/758
  6. Step 6: Final answer
    x = 1,261.85

Related Problems

Find third proportional to 379 and 489
Half scale
Find third proportional to 1,516 and 1,956
Double scale
Find third proportional to 760 and 981
Similar ratio
Find third proportional to 1,137 and 1,467
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.