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

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.