Home / 201,216-282,022

Finding the Third Proportional to 201,216 and 282,022

Calculator

Solution

The third proportional to 201,216 and 282,022 is: 395,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,216 : 282,022 = 282,022 : x
  2. Step 2: Convert to fraction form
    201,216/282,022 = 282,022/x
  3. Step 3: Cross multiply
    201,216x = 282,022 × 282,022
  4. Step 4: Simplify right side
    201,216x = 79,536,408,484
  5. Step 5: Solve for x
    x = 79,536,408,484/201,216
  6. Step 6: Final answer
    x = 395,278.75

Related Problems

Find third proportional to 100,608 and 141,011
Half scale
Find third proportional to 402,432 and 564,044
Double scale
Find third proportional to 201,218 and 282,025
Similar ratio
Find third proportional to 301,824 and 423,033
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.