Home / 100,923-212,302

Finding the Third Proportional to 100,923 and 212,302

Calculator

Solution

The third proportional to 100,923 and 212,302 is: 446,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,923 : 212,302 = 212,302 : x
  2. Step 2: Convert to fraction form
    100,923/212,302 = 212,302/x
  3. Step 3: Cross multiply
    100,923x = 212,302 × 212,302
  4. Step 4: Simplify right side
    100,923x = 45,072,139,204
  5. Step 5: Solve for x
    x = 45,072,139,204/100,923
  6. Step 6: Final answer
    x = 446,599.28

Related Problems

Find third proportional to 50,461.50 and 106,151
Half scale
Find third proportional to 201,846 and 424,604
Double scale
Find third proportional to 100,925 and 212,306
Similar ratio
Find third proportional to 151,384.50 and 318,453
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.