Home / 206,972-312,078

Finding the Third Proportional to 206,972 and 312,078

Calculator

Solution

The third proportional to 206,972 and 312,078 is: 470,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972 : 312,078 = 312,078 : x
  2. Step 2: Convert to fraction form
    206,972/312,078 = 312,078/x
  3. Step 3: Cross multiply
    206,972x = 312,078 × 312,078
  4. Step 4: Simplify right side
    206,972x = 97,392,678,084
  5. Step 5: Solve for x
    x = 97,392,678,084/206,972
  6. Step 6: Final answer
    x = 470,559.68

Related Problems

Find third proportional to 103,486 and 156,039
Half scale
Find third proportional to 413,944 and 624,156
Double scale
Find third proportional to 206,974 and 312,081
Similar ratio
Find third proportional to 310,458 and 468,117
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.