Home / 102,398-209,898

Finding the Third Proportional to 102,398 and 209,898

Calculator

Solution

The third proportional to 102,398 and 209,898 is: 430,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,398 : 209,898 = 209,898 : x
  2. Step 2: Convert to fraction form
    102,398/209,898 = 209,898/x
  3. Step 3: Cross multiply
    102,398x = 209,898 × 209,898
  4. Step 4: Simplify right side
    102,398x = 44,057,170,404
  5. Step 5: Solve for x
    x = 44,057,170,404/102,398
  6. Step 6: Final answer
    x = 430,254.21

Related Problems

Find third proportional to 51,199 and 104,949
Half scale
Find third proportional to 204,796 and 419,796
Double scale
Find third proportional to 102,400 and 209,902
Similar ratio
Find third proportional to 153,597 and 314,847
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.