Home / 332-420

Finding the Third Proportional to 332 and 420

Calculator

Solution

The third proportional to 332 and 420 is: 531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332 : 420 = 420 : x
  2. Step 2: Convert to fraction form
    332/420 = 420/x
  3. Step 3: Cross multiply
    332x = 420 × 420
  4. Step 4: Simplify right side
    332x = 176,400
  5. Step 5: Solve for x
    x = 176,400/332
  6. Step 6: Final answer
    x = 531.33

Related Problems

Find third proportional to 166 and 210
Half scale
Find third proportional to 664 and 840
Double scale
Find third proportional to 334 and 423
Similar ratio
Find third proportional to 498 and 630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.