Home / 683-978

Finding the Third Proportional to 683 and 978

Calculator

Solution

The third proportional to 683 and 978 is: 1,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    683/978 = 978/x
  3. Step 3: Cross multiply
    683x = 978 × 978
  4. Step 4: Simplify right side
    683x = 956,484
  5. Step 5: Solve for x
    x = 956,484/683
  6. Step 6: Final answer
    x = 1,400.42

Related Problems

Find third proportional to 341.50 and 489
Half scale
Find third proportional to 1,366 and 1,956
Double scale
Find third proportional to 685 and 981
Similar ratio
Find third proportional to 1,024.50 and 1,467
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.