Home / 432,172-654,223

Finding the Third Proportional to 432,172 and 654,223

Calculator

Solution

The third proportional to 432,172 and 654,223 is: 990,364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,172 : 654,223 = 654,223 : x
  2. Step 2: Convert to fraction form
    432,172/654,223 = 654,223/x
  3. Step 3: Cross multiply
    432,172x = 654,223 × 654,223
  4. Step 4: Simplify right side
    432,172x = 428,007,733,729
  5. Step 5: Solve for x
    x = 428,007,733,729/432,172
  6. Step 6: Final answer
    x = 990,364.33

Related Problems

Find third proportional to 216,086 and 327,111.50
Half scale
Find third proportional to 864,344 and 1,308,446
Double scale
Find third proportional to 432,174 and 654,226
Similar ratio
Find third proportional to 648,258 and 981,334.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.