Home / 201,760-312,210

Finding the Third Proportional to 201,760 and 312,210

Calculator

Solution

The third proportional to 201,760 and 312,210 is: 483,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760 : 312,210 = 312,210 : x
  2. Step 2: Convert to fraction form
    201,760/312,210 = 312,210/x
  3. Step 3: Cross multiply
    201,760x = 312,210 × 312,210
  4. Step 4: Simplify right side
    201,760x = 97,475,084,100
  5. Step 5: Solve for x
    x = 97,475,084,100/201,760
  6. Step 6: Final answer
    x = 483,123.93

Related Problems

Find third proportional to 100,880 and 156,105
Half scale
Find third proportional to 403,520 and 624,420
Double scale
Find third proportional to 201,762 and 312,213
Similar ratio
Find third proportional to 302,640 and 468,315
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.