Home / 206,964-312,066

Finding the Third Proportional to 206,964 and 312,066

Calculator

Solution

The third proportional to 206,964 and 312,066 is: 470,541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,964 : 312,066 = 312,066 : x
  2. Step 2: Convert to fraction form
    206,964/312,066 = 312,066/x
  3. Step 3: Cross multiply
    206,964x = 312,066 × 312,066
  4. Step 4: Simplify right side
    206,964x = 97,385,188,356
  5. Step 5: Solve for x
    x = 97,385,188,356/206,964
  6. Step 6: Final answer
    x = 470,541.68

Related Problems

Find third proportional to 103,482 and 156,033
Half scale
Find third proportional to 413,928 and 624,132
Double scale
Find third proportional to 206,966 and 312,069
Similar ratio
Find third proportional to 310,446 and 468,099
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.