Home / 178.75-410

Finding the Third Proportional to 178.75 and 410

Calculator

Solution

The third proportional to 178.75 and 410 is: 940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.75 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    178.75/410 = 410/x
  3. Step 3: Cross multiply
    178.75x = 410 × 410
  4. Step 4: Simplify right side
    178.75x = 168,100
  5. Step 5: Solve for x
    x = 168,100/178.75
  6. Step 6: Final answer
    x = 940.42

Related Problems

Find third proportional to 89.38 and 205
Half scale
Find third proportional to 357.50 and 820
Double scale
Find third proportional to 181 and 415
Similar ratio
Find third proportional to 268.13 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.