Home / 445-784

Finding the Third Proportional to 445 and 784

Calculator

Solution

The third proportional to 445 and 784 is: 1,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    445 : 784 = 784 : x
  2. Step 2: Convert to fraction form
    445/784 = 784/x
  3. Step 3: Cross multiply
    445x = 784 × 784
  4. Step 4: Simplify right side
    445x = 614,656
  5. Step 5: Solve for x
    x = 614,656/445
  6. Step 6: Final answer
    x = 1,381.25

Related Problems

Find third proportional to 222.50 and 392
Half scale
Find third proportional to 890 and 1,568
Double scale
Find third proportional to 447 and 788
Similar ratio
Find third proportional to 667.50 and 1,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.