Home / 296,180-470,511

Finding the Third Proportional to 296,180 and 470,511

Calculator

Solution

The third proportional to 296,180 and 470,511 is: 747,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,180 : 470,511 = 470,511 : x
  2. Step 2: Convert to fraction form
    296,180/470,511 = 470,511/x
  3. Step 3: Cross multiply
    296,180x = 470,511 × 470,511
  4. Step 4: Simplify right side
    296,180x = 221,380,601,121
  5. Step 5: Solve for x
    x = 221,380,601,121/296,180
  6. Step 6: Final answer
    x = 747,452.90

Related Problems

Find third proportional to 148,090 and 235,255.50
Half scale
Find third proportional to 592,360 and 941,022
Double scale
Find third proportional to 296,182 and 470,514
Similar ratio
Find third proportional to 444,270 and 705,766.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.