Home / 223,813-457,964

Finding the Third Proportional to 223,813 and 457,964

Calculator

Solution

The third proportional to 223,813 and 457,964 is: 937,081.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,813 : 457,964 = 457,964 : x
  2. Step 2: Convert to fraction form
    223,813/457,964 = 457,964/x
  3. Step 3: Cross multiply
    223,813x = 457,964 × 457,964
  4. Step 4: Simplify right side
    223,813x = 209,731,025,296
  5. Step 5: Solve for x
    x = 209,731,025,296/223,813
  6. Step 6: Final answer
    x = 937,081.52

Related Problems

Find third proportional to 111,906.50 and 228,982
Half scale
Find third proportional to 447,626 and 915,928
Double scale
Find third proportional to 223,815 and 457,968
Similar ratio
Find third proportional to 335,719.50 and 686,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.