Home / 120,199-186,854

Finding the Third Proportional to 120,199 and 186,854

Calculator

Solution

The third proportional to 120,199 and 186,854 is: 290,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199 : 186,854 = 186,854 : x
  2. Step 2: Convert to fraction form
    120,199/186,854 = 186,854/x
  3. Step 3: Cross multiply
    120,199x = 186,854 × 186,854
  4. Step 4: Simplify right side
    120,199x = 34,914,417,316
  5. Step 5: Solve for x
    x = 34,914,417,316/120,199
  6. Step 6: Final answer
    x = 290,471.78

Related Problems

Find third proportional to 60,099.50 and 93,427
Half scale
Find third proportional to 240,398 and 373,708
Double scale
Find third proportional to 120,201 and 186,857
Similar ratio
Find third proportional to 180,298.50 and 280,281
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.