Home / 311,938-470,120

Finding the Third Proportional to 311,938 and 470,120

Calculator

Solution

The third proportional to 311,938 and 470,120 is: 708,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938 : 470,120 = 470,120 : x
  2. Step 2: Convert to fraction form
    311,938/470,120 = 470,120/x
  3. Step 3: Cross multiply
    311,938x = 470,120 × 470,120
  4. Step 4: Simplify right side
    311,938x = 221,012,814,400
  5. Step 5: Solve for x
    x = 221,012,814,400/311,938
  6. Step 6: Final answer
    x = 708,515.20

Related Problems

Find third proportional to 155,969 and 235,060
Half scale
Find third proportional to 623,876 and 940,240
Double scale
Find third proportional to 311,940 and 470,123
Similar ratio
Find third proportional to 467,907 and 705,180
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.