Home / 202,912-315,422

Finding the Third Proportional to 202,912 and 315,422

Calculator

Solution

The third proportional to 202,912 and 315,422 is: 490,316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912 : 315,422 = 315,422 : x
  2. Step 2: Convert to fraction form
    202,912/315,422 = 315,422/x
  3. Step 3: Cross multiply
    202,912x = 315,422 × 315,422
  4. Step 4: Simplify right side
    202,912x = 99,491,038,084
  5. Step 5: Solve for x
    x = 99,491,038,084/202,912
  6. Step 6: Final answer
    x = 490,316.19

Related Problems

Find third proportional to 101,456 and 157,711
Half scale
Find third proportional to 405,824 and 630,844
Double scale
Find third proportional to 202,914 and 315,425
Similar ratio
Find third proportional to 304,368 and 473,133
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.