Home / 210,825-463,122

Finding the Third Proportional to 210,825 and 463,122

Calculator

Solution

The third proportional to 210,825 and 463,122 is: 1,017,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825 : 463,122 = 463,122 : x
  2. Step 2: Convert to fraction form
    210,825/463,122 = 463,122/x
  3. Step 3: Cross multiply
    210,825x = 463,122 × 463,122
  4. Step 4: Simplify right side
    210,825x = 214,481,986,884
  5. Step 5: Solve for x
    x = 214,481,986,884/210,825
  6. Step 6: Final answer
    x = 1,017,346.08

Related Problems

Find third proportional to 105,412.50 and 231,561
Half scale
Find third proportional to 421,650 and 926,244
Double scale
Find third proportional to 210,827 and 463,126
Similar ratio
Find third proportional to 316,237.50 and 694,683
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.