Home / 705-1,830

Finding the Third Proportional to 705 and 1,830

Calculator

Solution

The third proportional to 705 and 1,830 is: 4,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 1,830 = 1,830 : x
  2. Step 2: Convert to fraction form
    705/1,830 = 1,830/x
  3. Step 3: Cross multiply
    705x = 1,830 × 1,830
  4. Step 4: Simplify right side
    705x = 3,348,900
  5. Step 5: Solve for x
    x = 3,348,900/705
  6. Step 6: Final answer
    x = 4,750.21

Related Problems

Find third proportional to 352.50 and 915
Half scale
Find third proportional to 1,410 and 3,660
Double scale
Find third proportional to 707 and 1,835
Similar ratio
Find third proportional to 1,057.50 and 2,745
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.