Home / 85,677-189,705

Finding the Third Proportional to 85,677 and 189,705

Calculator

Solution

The third proportional to 85,677 and 189,705 is: 420,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,677 : 189,705 = 189,705 : x
  2. Step 2: Convert to fraction form
    85,677/189,705 = 189,705/x
  3. Step 3: Cross multiply
    85,677x = 189,705 × 189,705
  4. Step 4: Simplify right side
    85,677x = 35,987,987,025
  5. Step 5: Solve for x
    x = 35,987,987,025/85,677
  6. Step 6: Final answer
    x = 420,042.57

Related Problems

Find third proportional to 42,838.50 and 94,852.50
Half scale
Find third proportional to 171,354 and 379,410
Double scale
Find third proportional to 85,679 and 189,709
Similar ratio
Find third proportional to 128,515.50 and 284,557.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.