Home / 152-410

Finding the Third Proportional to 152 and 410

Calculator

Solution

The third proportional to 152 and 410 is: 1,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 410 = 410 : x
  2. Step 2: Convert to fraction form
    152/410 = 410/x
  3. Step 3: Cross multiply
    152x = 410 × 410
  4. Step 4: Simplify right side
    152x = 168,100
  5. Step 5: Solve for x
    x = 168,100/152
  6. Step 6: Final answer
    x = 1,105.92

Related Problems

Find third proportional to 76 and 205
Half scale
Find third proportional to 304 and 820
Double scale
Find third proportional to 154 and 415
Similar ratio
Find third proportional to 228 and 615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.