Home / 180,295-261,147

Finding the Third Proportional to 180,295 and 261,147

Calculator

Solution

The third proportional to 180,295 and 261,147 is: 378,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,295 : 261,147 = 261,147 : x
  2. Step 2: Convert to fraction form
    180,295/261,147 = 261,147/x
  3. Step 3: Cross multiply
    180,295x = 261,147 × 261,147
  4. Step 4: Simplify right side
    180,295x = 68,197,755,609
  5. Step 5: Solve for x
    x = 68,197,755,609/180,295
  6. Step 6: Final answer
    x = 378,256.50

Related Problems

Find third proportional to 90,147.50 and 130,573.50
Half scale
Find third proportional to 360,590 and 522,294
Double scale
Find third proportional to 180,297 and 261,150
Similar ratio
Find third proportional to 270,442.50 and 391,720.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.