Home / 106,024-224,672

Finding the Third Proportional to 106,024 and 224,672

Calculator

Solution

The third proportional to 106,024 and 224,672 is: 476,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,024 : 224,672 = 224,672 : x
  2. Step 2: Convert to fraction form
    106,024/224,672 = 224,672/x
  3. Step 3: Cross multiply
    106,024x = 224,672 × 224,672
  4. Step 4: Simplify right side
    106,024x = 50,477,507,584
  5. Step 5: Solve for x
    x = 50,477,507,584/106,024
  6. Step 6: Final answer
    x = 476,095.11

Related Problems

Find third proportional to 53,012 and 112,336
Half scale
Find third proportional to 212,048 and 449,344
Double scale
Find third proportional to 106,026 and 224,676
Similar ratio
Find third proportional to 159,036 and 337,008
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.