Home / 149,457-224,747

Finding the Third Proportional to 149,457 and 224,747

Calculator

Solution

The third proportional to 149,457 and 224,747 is: 337,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,457 : 224,747 = 224,747 : x
  2. Step 2: Convert to fraction form
    149,457/224,747 = 224,747/x
  3. Step 3: Cross multiply
    149,457x = 224,747 × 224,747
  4. Step 4: Simplify right side
    149,457x = 50,511,214,009
  5. Step 5: Solve for x
    x = 50,511,214,009/149,457
  6. Step 6: Final answer
    x = 337,964.86

Related Problems

Find third proportional to 74,728.50 and 112,373.50
Half scale
Find third proportional to 298,914 and 449,494
Double scale
Find third proportional to 149,459 and 224,750
Similar ratio
Find third proportional to 224,185.50 and 337,120.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.