Home / 735-784

Finding the Third Proportional to 735 and 784

Calculator

Solution

The third proportional to 735 and 784 is: 836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 784 = 784 : x
  2. Step 2: Convert to fraction form
    735/784 = 784/x
  3. Step 3: Cross multiply
    735x = 784 × 784
  4. Step 4: Simplify right side
    735x = 614,656
  5. Step 5: Solve for x
    x = 614,656/735
  6. Step 6: Final answer
    x = 836.27

Related Problems

Find third proportional to 367.50 and 392
Half scale
Find third proportional to 1,470 and 1,568
Double scale
Find third proportional to 737 and 786
Similar ratio
Find third proportional to 1,102.50 and 1,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.