Home / 199,136-310,824

Finding the Third Proportional to 199,136 and 310,824

Calculator

Solution

The third proportional to 199,136 and 310,824 is: 485,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,136 : 310,824 = 310,824 : x
  2. Step 2: Convert to fraction form
    199,136/310,824 = 310,824/x
  3. Step 3: Cross multiply
    199,136x = 310,824 × 310,824
  4. Step 4: Simplify right side
    199,136x = 96,611,558,976
  5. Step 5: Solve for x
    x = 96,611,558,976/199,136
  6. Step 6: Final answer
    x = 485,153.66

Related Problems

Find third proportional to 99,568 and 155,412
Half scale
Find third proportional to 398,272 and 621,648
Double scale
Find third proportional to 199,138 and 310,827
Similar ratio
Find third proportional to 298,704 and 466,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.