Home / 313,360-470,735

Finding the Third Proportional to 313,360 and 470,735

Calculator

Solution

The third proportional to 313,360 and 470,735 is: 707,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,360 : 470,735 = 470,735 : x
  2. Step 2: Convert to fraction form
    313,360/470,735 = 470,735/x
  3. Step 3: Cross multiply
    313,360x = 470,735 × 470,735
  4. Step 4: Simplify right side
    313,360x = 221,591,440,225
  5. Step 5: Solve for x
    x = 221,591,440,225/313,360
  6. Step 6: Final answer
    x = 707,146.54

Related Problems

Find third proportional to 156,680 and 235,367.50
Half scale
Find third proportional to 626,720 and 941,470
Double scale
Find third proportional to 313,362 and 470,738
Similar ratio
Find third proportional to 470,040 and 706,102.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.