Home / 770-978

Finding the Third Proportional to 770 and 978

Calculator

Solution

The third proportional to 770 and 978 is: 1,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    770 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    770/978 = 978/x
  3. Step 3: Cross multiply
    770x = 978 × 978
  4. Step 4: Simplify right side
    770x = 956,484
  5. Step 5: Solve for x
    x = 956,484/770
  6. Step 6: Final answer
    x = 1,242.19

Related Problems

Find third proportional to 385 and 489
Half scale
Find third proportional to 1,540 and 1,956
Double scale
Find third proportional to 772 and 981
Similar ratio
Find third proportional to 1,155 and 1,467
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.