Home / 157,233-222,267

Finding the Third Proportional to 157,233 and 222,267

Calculator

Solution

The third proportional to 157,233 and 222,267 is: 314,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233 : 222,267 = 222,267 : x
  2. Step 2: Convert to fraction form
    157,233/222,267 = 222,267/x
  3. Step 3: Cross multiply
    157,233x = 222,267 × 222,267
  4. Step 4: Simplify right side
    157,233x = 49,402,619,289
  5. Step 5: Solve for x
    x = 49,402,619,289/157,233
  6. Step 6: Final answer
    x = 314,200.07

Related Problems

Find third proportional to 78,616.50 and 111,133.50
Half scale
Find third proportional to 314,466 and 444,534
Double scale
Find third proportional to 157,235 and 222,270
Similar ratio
Find third proportional to 235,849.50 and 333,400.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.