Home / 75,687-178,413

Finding the Third Proportional to 75,687 and 178,413

Calculator

Solution

The third proportional to 75,687 and 178,413 is: 420,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687 : 178,413 = 178,413 : x
  2. Step 2: Convert to fraction form
    75,687/178,413 = 178,413/x
  3. Step 3: Cross multiply
    75,687x = 178,413 × 178,413
  4. Step 4: Simplify right side
    75,687x = 31,831,198,569
  5. Step 5: Solve for x
    x = 31,831,198,569/75,687
  6. Step 6: Final answer
    x = 420,563.62

Related Problems

Find third proportional to 37,843.50 and 89,206.50
Half scale
Find third proportional to 151,374 and 356,826
Double scale
Find third proportional to 75,689 and 178,418
Similar ratio
Find third proportional to 113,530.50 and 267,619.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.