Home / 200,981-310,914

Finding the Third Proportional to 200,981 and 310,914

Calculator

Solution

The third proportional to 200,981 and 310,914 is: 480,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981 : 310,914 = 310,914 : x
  2. Step 2: Convert to fraction form
    200,981/310,914 = 310,914/x
  3. Step 3: Cross multiply
    200,981x = 310,914 × 310,914
  4. Step 4: Simplify right side
    200,981x = 96,667,515,396
  5. Step 5: Solve for x
    x = 96,667,515,396/200,981
  6. Step 6: Final answer
    x = 480,978.38

Related Problems

Find third proportional to 100,490.50 and 155,457
Half scale
Find third proportional to 401,962 and 621,828
Double scale
Find third proportional to 200,983 and 310,917
Similar ratio
Find third proportional to 301,471.50 and 466,371
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.