Home / 312,090-470,943

Finding the Third Proportional to 312,090 and 470,943

Calculator

Solution

The third proportional to 312,090 and 470,943 is: 710,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,090 : 470,943 = 470,943 : x
  2. Step 2: Convert to fraction form
    312,090/470,943 = 470,943/x
  3. Step 3: Cross multiply
    312,090x = 470,943 × 470,943
  4. Step 4: Simplify right side
    312,090x = 221,787,309,249
  5. Step 5: Solve for x
    x = 221,787,309,249/312,090
  6. Step 6: Final answer
    x = 710,651.76

Related Problems

Find third proportional to 156,045 and 235,471.50
Half scale
Find third proportional to 624,180 and 941,886
Double scale
Find third proportional to 312,092 and 470,946
Similar ratio
Find third proportional to 468,135 and 706,414.50
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.