Home / 157,209-222,233

Finding the Third Proportional to 157,209 and 222,233

Calculator

Solution

The third proportional to 157,209 and 222,233 is: 314,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,209 : 222,233 = 222,233 : x
  2. Step 2: Convert to fraction form
    157,209/222,233 = 222,233/x
  3. Step 3: Cross multiply
    157,209x = 222,233 × 222,233
  4. Step 4: Simplify right side
    157,209x = 49,387,506,289
  5. Step 5: Solve for x
    x = 49,387,506,289/157,209
  6. Step 6: Final answer
    x = 314,151.90

Related Problems

Find third proportional to 78,604.50 and 111,116.50
Half scale
Find third proportional to 314,418 and 444,466
Double scale
Find third proportional to 157,211 and 222,236
Similar ratio
Find third proportional to 235,813.50 and 333,349.50
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.