Home / 720.56-783.84

Finding the Third Proportional to 720.56 and 783.84

Calculator

Solution

The third proportional to 720.56 and 783.84 is: 852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.56 : 783.84 = 783.84 : x
  2. Step 2: Convert to fraction form
    720.56/783.84 = 783.84/x
  3. Step 3: Cross multiply
    720.56x = 783.84 × 783.84
  4. Step 4: Simplify right side
    720.56x = 614,411.02
  5. Step 5: Solve for x
    x = 614,411.02/720.56
  6. Step 6: Final answer
    x = 852.68

Related Problems

Find third proportional to 360.28 and 391.92
Half scale
Find third proportional to 1,441.13 and 1,567.69
Double scale
Find third proportional to 723 and 786
Similar ratio
Find third proportional to 1,080.84 and 1,175.77
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.