Home / 348-784

Finding the Third Proportional to 348 and 784

Calculator

Solution

The third proportional to 348 and 784 is: 1,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348 : 784 = 784 : x
  2. Step 2: Convert to fraction form
    348/784 = 784/x
  3. Step 3: Cross multiply
    348x = 784 × 784
  4. Step 4: Simplify right side
    348x = 614,656
  5. Step 5: Solve for x
    x = 614,656/348
  6. Step 6: Final answer
    x = 1,766.25

Related Problems

Find third proportional to 174 and 392
Half scale
Find third proportional to 696 and 1,568
Double scale
Find third proportional to 350 and 789
Similar ratio
Find third proportional to 522 and 1,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.