Home / 284-424

Finding the Third Proportional to 284 and 424

Calculator

Solution

The third proportional to 284 and 424 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284 : 424 = 424 : x
  2. Step 2: Convert to fraction form
    284/424 = 424/x
  3. Step 3: Cross multiply
    284x = 424 × 424
  4. Step 4: Simplify right side
    284x = 179,776
  5. Step 5: Solve for x
    x = 179,776/284
  6. Step 6: Final answer
    x = 633.01

Related Problems

Find third proportional to 142 and 212
Half scale
Find third proportional to 568 and 848
Double scale
Find third proportional to 286 and 427
Similar ratio
Find third proportional to 426 and 636
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.