Home / 225,733-470,148

Finding the Third Proportional to 225,733 and 470,148

Calculator

Solution

The third proportional to 225,733 and 470,148 is: 979,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,733 : 470,148 = 470,148 : x
  2. Step 2: Convert to fraction form
    225,733/470,148 = 470,148/x
  3. Step 3: Cross multiply
    225,733x = 470,148 × 470,148
  4. Step 4: Simplify right side
    225,733x = 221,039,141,904
  5. Step 5: Solve for x
    x = 221,039,141,904/225,733
  6. Step 6: Final answer
    x = 979,206.15

Related Problems

Find third proportional to 112,866.50 and 235,074
Half scale
Find third proportional to 451,466 and 940,296
Double scale
Find third proportional to 225,735 and 470,152
Similar ratio
Find third proportional to 338,599.50 and 705,222
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.