Home / 84,213-129,411

Finding the Third Proportional to 84,213 and 129,411

Calculator

Solution

The third proportional to 84,213 and 129,411 is: 198,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 129,411 = 129,411 : x
  2. Step 2: Convert to fraction form
    84,213/129,411 = 129,411/x
  3. Step 3: Cross multiply
    84,213x = 129,411 × 129,411
  4. Step 4: Simplify right side
    84,213x = 16,747,206,921
  5. Step 5: Solve for x
    x = 16,747,206,921/84,213
  6. Step 6: Final answer
    x = 198,867.24

Related Problems

Find third proportional to 42,106.50 and 64,705.50
Half scale
Find third proportional to 168,426 and 258,822
Double scale
Find third proportional to 84,215 and 129,414
Similar ratio
Find third proportional to 126,319.50 and 194,116.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.