Home / 299,982-421,908

Finding the Third Proportional to 299,982 and 421,908

Calculator

Solution

The third proportional to 299,982 and 421,908 is: 593,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,982 : 421,908 = 421,908 : x
  2. Step 2: Convert to fraction form
    299,982/421,908 = 421,908/x
  3. Step 3: Cross multiply
    299,982x = 421,908 × 421,908
  4. Step 4: Simplify right side
    299,982x = 178,006,360,464
  5. Step 5: Solve for x
    x = 178,006,360,464/299,982
  6. Step 6: Final answer
    x = 593,390.14

Related Problems

Find third proportional to 149,991 and 210,954
Half scale
Find third proportional to 599,964 and 843,816
Double scale
Find third proportional to 299,984 and 421,911
Similar ratio
Find third proportional to 449,973 and 632,862
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.