Home / 210-384

Finding the Third Proportional to 210 and 384

Calculator

Solution

The third proportional to 210 and 384 is: 702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210 : 384 = 384 : x
  2. Step 2: Convert to fraction form
    210/384 = 384/x
  3. Step 3: Cross multiply
    210x = 384 × 384
  4. Step 4: Simplify right side
    210x = 147,456
  5. Step 5: Solve for x
    x = 147,456/210
  6. Step 6: Final answer
    x = 702.17

Related Problems

Find third proportional to 105 and 192
Half scale
Find third proportional to 420 and 768
Double scale
Find third proportional to 212 and 388
Similar ratio
Find third proportional to 315 and 576
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.