Home / 805.50-978

Finding the Third Proportional to 805.50 and 978

Calculator

Solution

The third proportional to 805.50 and 978 is: 1,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.50 : 978 = 978 : x
  2. Step 2: Convert to fraction form
    805.50/978 = 978/x
  3. Step 3: Cross multiply
    805.50x = 978 × 978
  4. Step 4: Simplify right side
    805.50x = 956,484
  5. Step 5: Solve for x
    x = 956,484/805.50
  6. Step 6: Final answer
    x = 1,187.44

Related Problems

Find third proportional to 402.75 and 489
Half scale
Find third proportional to 1,611 and 1,956
Double scale
Find third proportional to 808 and 980
Similar ratio
Find third proportional to 1,208.25 and 1,467
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.