Home / 352-830

Finding the Third Proportional to 352 and 830

Calculator

Solution

The third proportional to 352 and 830 is: 1,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    352 : 830 = 830 : x
  2. Step 2: Convert to fraction form
    352/830 = 830/x
  3. Step 3: Cross multiply
    352x = 830 × 830
  4. Step 4: Simplify right side
    352x = 688,900
  5. Step 5: Solve for x
    x = 688,900/352
  6. Step 6: Final answer
    x = 1,957.10

Related Problems

Find third proportional to 176 and 415
Half scale
Find third proportional to 704 and 1,660
Double scale
Find third proportional to 354 and 835
Similar ratio
Find third proportional to 528 and 1,245
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.