Home / 147,814-225,413

Finding the Third Proportional to 147,814 and 225,413

Calculator

Solution

The third proportional to 147,814 and 225,413 is: 343,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814 : 225,413 = 225,413 : x
  2. Step 2: Convert to fraction form
    147,814/225,413 = 225,413/x
  3. Step 3: Cross multiply
    147,814x = 225,413 × 225,413
  4. Step 4: Simplify right side
    147,814x = 50,811,020,569
  5. Step 5: Solve for x
    x = 50,811,020,569/147,814
  6. Step 6: Final answer
    x = 343,749.72

Related Problems

Find third proportional to 73,907 and 112,706.50
Half scale
Find third proportional to 295,628 and 450,826
Double scale
Find third proportional to 147,816 and 225,416
Similar ratio
Find third proportional to 221,721 and 338,119.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.