Home / 105,890-206,459

Finding the Third Proportional to 105,890 and 206,459

Calculator

Solution

The third proportional to 105,890 and 206,459 is: 402,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890 : 206,459 = 206,459 : x
  2. Step 2: Convert to fraction form
    105,890/206,459 = 206,459/x
  3. Step 3: Cross multiply
    105,890x = 206,459 × 206,459
  4. Step 4: Simplify right side
    105,890x = 42,625,318,681
  5. Step 5: Solve for x
    x = 42,625,318,681/105,890
  6. Step 6: Final answer
    x = 402,543.38

Related Problems

Find third proportional to 52,945 and 103,229.50
Half scale
Find third proportional to 211,780 and 412,918
Double scale
Find third proportional to 105,892 and 206,463
Similar ratio
Find third proportional to 158,835 and 309,688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.