Home / 120,408-186,342

Finding the Third Proportional to 120,408 and 186,342

Calculator

Solution

The third proportional to 120,408 and 186,342 is: 288,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,408 : 186,342 = 186,342 : x
  2. Step 2: Convert to fraction form
    120,408/186,342 = 186,342/x
  3. Step 3: Cross multiply
    120,408x = 186,342 × 186,342
  4. Step 4: Simplify right side
    120,408x = 34,723,340,964
  5. Step 5: Solve for x
    x = 34,723,340,964/120,408
  6. Step 6: Final answer
    x = 288,380.68

Related Problems

Find third proportional to 60,204 and 93,171
Half scale
Find third proportional to 240,816 and 372,684
Double scale
Find third proportional to 120,410 and 186,345
Similar ratio
Find third proportional to 180,612 and 279,513
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.