Home / 269,973-419,112

Finding the Third Proportional to 269,973 and 419,112

Calculator

Solution

The third proportional to 269,973 and 419,112 is: 650,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,973 : 419,112 = 419,112 : x
  2. Step 2: Convert to fraction form
    269,973/419,112 = 419,112/x
  3. Step 3: Cross multiply
    269,973x = 419,112 × 419,112
  4. Step 4: Simplify right side
    269,973x = 175,654,868,544
  5. Step 5: Solve for x
    x = 175,654,868,544/269,973
  6. Step 6: Final answer
    x = 650,638.65

Related Problems

Find third proportional to 134,986.50 and 209,556
Half scale
Find third proportional to 539,946 and 838,224
Double scale
Find third proportional to 269,975 and 419,115
Similar ratio
Find third proportional to 404,959.50 and 628,668
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.