Home / 770.06-1,660.78

Finding the Third Proportional to 770.06 and 1,660.78

Calculator

Solution

The third proportional to 770.06 and 1,660.78 is: 3,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.06 : 1,660.78 = 1,660.78 : x
  2. Step 2: Convert to fraction form
    770.06/1,660.78 = 1,660.78/x
  3. Step 3: Cross multiply
    770.06x = 1,660.78 × 1,660.78
  4. Step 4: Simplify right side
    770.06x = 2,758,194.36
  5. Step 5: Solve for x
    x = 2,758,194.36/770.06
  6. Step 6: Final answer
    x = 3,581.78

Related Problems

Find third proportional to 385.03 and 830.39
Half scale
Find third proportional to 1,540.13 and 3,321.56
Double scale
Find third proportional to 772 and 1,665
Similar ratio
Find third proportional to 1,155.09 and 2,491.17
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.