Home / 384-814

Finding the Third Proportional to 384 and 814

Calculator

Solution

The third proportional to 384 and 814 is: 1,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 814 = 814 : x
  2. Step 2: Convert to fraction form
    384/814 = 814/x
  3. Step 3: Cross multiply
    384x = 814 × 814
  4. Step 4: Simplify right side
    384x = 662,596
  5. Step 5: Solve for x
    x = 662,596/384
  6. Step 6: Final answer
    x = 1,725.51

Related Problems

Find third proportional to 192 and 407
Half scale
Find third proportional to 768 and 1,628
Double scale
Find third proportional to 386 and 818
Similar ratio
Find third proportional to 576 and 1,221
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.