Home / 150,174-209,952

Finding the Third Proportional to 150,174 and 209,952

Calculator

Solution

The third proportional to 150,174 and 209,952 is: 293,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174 : 209,952 = 209,952 : x
  2. Step 2: Convert to fraction form
    150,174/209,952 = 209,952/x
  3. Step 3: Cross multiply
    150,174x = 209,952 × 209,952
  4. Step 4: Simplify right side
    150,174x = 44,079,842,304
  5. Step 5: Solve for x
    x = 44,079,842,304/150,174
  6. Step 6: Final answer
    x = 293,525.13

Related Problems

Find third proportional to 75,087 and 104,976
Half scale
Find third proportional to 300,348 and 419,904
Double scale
Find third proportional to 150,176 and 209,955
Similar ratio
Find third proportional to 225,261 and 314,928
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.