Home / 355-412

Finding the Third Proportional to 355 and 412

Calculator

Solution

The third proportional to 355 and 412 is: 478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    355 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    355/412 = 412/x
  3. Step 3: Cross multiply
    355x = 412 × 412
  4. Step 4: Simplify right side
    355x = 169,744
  5. Step 5: Solve for x
    x = 169,744/355
  6. Step 6: Final answer
    x = 478.15

Related Problems

Find third proportional to 177.50 and 206
Half scale
Find third proportional to 710 and 824
Double scale
Find third proportional to 357 and 414
Similar ratio
Find third proportional to 532.50 and 618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.