Home / 97,640-213,136

Finding the Third Proportional to 97,640 and 213,136

Calculator

Solution

The third proportional to 97,640 and 213,136 is: 465,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,640 : 213,136 = 213,136 : x
  2. Step 2: Convert to fraction form
    97,640/213,136 = 213,136/x
  3. Step 3: Cross multiply
    97,640x = 213,136 × 213,136
  4. Step 4: Simplify right side
    97,640x = 45,426,954,496
  5. Step 5: Solve for x
    x = 45,426,954,496/97,640
  6. Step 6: Final answer
    x = 465,249.43

Related Problems

Find third proportional to 48,820 and 106,568
Half scale
Find third proportional to 195,280 and 426,272
Double scale
Find third proportional to 97,642 and 213,140
Similar ratio
Find third proportional to 146,460 and 319,704
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.