Home / 83,190-129,297

Finding the Third Proportional to 83,190 and 129,297

Calculator

Solution

The third proportional to 83,190 and 129,297 is: 200,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,190 : 129,297 = 129,297 : x
  2. Step 2: Convert to fraction form
    83,190/129,297 = 129,297/x
  3. Step 3: Cross multiply
    83,190x = 129,297 × 129,297
  4. Step 4: Simplify right side
    83,190x = 16,717,714,209
  5. Step 5: Solve for x
    x = 16,717,714,209/83,190
  6. Step 6: Final answer
    x = 200,958.22

Related Problems

Find third proportional to 41,595 and 64,648.50
Half scale
Find third proportional to 166,380 and 258,594
Double scale
Find third proportional to 83,192 and 129,300
Similar ratio
Find third proportional to 124,785 and 193,945.50
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.