Home / 180,136-417,022

Finding the Third Proportional to 180,136 and 417,022

Calculator

Solution

The third proportional to 180,136 and 417,022 is: 965,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,136 : 417,022 = 417,022 : x
  2. Step 2: Convert to fraction form
    180,136/417,022 = 417,022/x
  3. Step 3: Cross multiply
    180,136x = 417,022 × 417,022
  4. Step 4: Simplify right side
    180,136x = 173,907,348,484
  5. Step 5: Solve for x
    x = 173,907,348,484/180,136
  6. Step 6: Final answer
    x = 965,422.51

Related Problems

Find third proportional to 90,068 and 208,511
Half scale
Find third proportional to 360,272 and 834,044
Double scale
Find third proportional to 180,138 and 417,027
Similar ratio
Find third proportional to 270,204 and 625,533
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.