Home / 419,203-909,297

Finding the Third Proportional to 419,203 and 909,297

Calculator

Solution

The third proportional to 419,203 and 909,297 is: 1,972,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,203 : 909,297 = 909,297 : x
  2. Step 2: Convert to fraction form
    419,203/909,297 = 909,297/x
  3. Step 3: Cross multiply
    419,203x = 909,297 × 909,297
  4. Step 4: Simplify right side
    419,203x = 826,821,034,209
  5. Step 5: Solve for x
    x = 826,821,034,209/419,203
  6. Step 6: Final answer
    x = 1,972,364.31

Related Problems

Find third proportional to 209,601.50 and 454,648.50
Half scale
Find third proportional to 838,406 and 1,818,594
Double scale
Find third proportional to 419,205 and 909,301
Similar ratio
Find third proportional to 628,804.50 and 1,363,945.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.