Home / 120,386-243,716

Finding the Third Proportional to 120,386 and 243,716

Calculator

Solution

The third proportional to 120,386 and 243,716 is: 493,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,386 : 243,716 = 243,716 : x
  2. Step 2: Convert to fraction form
    120,386/243,716 = 243,716/x
  3. Step 3: Cross multiply
    120,386x = 243,716 × 243,716
  4. Step 4: Simplify right side
    120,386x = 59,397,488,656
  5. Step 5: Solve for x
    x = 59,397,488,656/120,386
  6. Step 6: Final answer
    x = 493,391.99

Related Problems

Find third proportional to 60,193 and 121,858
Half scale
Find third proportional to 240,772 and 487,432
Double scale
Find third proportional to 120,388 and 243,720
Similar ratio
Find third proportional to 180,579 and 365,574
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.