Home / 231,504-507,324

Finding the Third Proportional to 231,504 and 507,324

Calculator

Solution

The third proportional to 231,504 and 507,324 is: 1,111,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,504 : 507,324 = 507,324 : x
  2. Step 2: Convert to fraction form
    231,504/507,324 = 507,324/x
  3. Step 3: Cross multiply
    231,504x = 507,324 × 507,324
  4. Step 4: Simplify right side
    231,504x = 257,377,640,976
  5. Step 5: Solve for x
    x = 257,377,640,976/231,504
  6. Step 6: Final answer
    x = 1,111,763.26

Related Problems

Find third proportional to 115,752 and 253,662
Half scale
Find third proportional to 463,008 and 1,014,648
Double scale
Find third proportional to 231,506 and 507,328
Similar ratio
Find third proportional to 347,256 and 760,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.