Home / 382.50-602.25

Finding the Third Proportional to 382.50 and 602.25

Calculator

Solution

The third proportional to 382.50 and 602.25 is: 948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 602.25 = 602.25 : x
  2. Step 2: Convert to fraction form
    382.50/602.25 = 602.25/x
  3. Step 3: Cross multiply
    382.50x = 602.25 × 602.25
  4. Step 4: Simplify right side
    382.50x = 362,705.06
  5. Step 5: Solve for x
    x = 362,705.06/382.50
  6. Step 6: Final answer
    x = 948.25

Related Problems

Find third proportional to 191.25 and 301.13
Half scale
Find third proportional to 765 and 1,204.50
Double scale
Find third proportional to 385 and 605
Similar ratio
Find third proportional to 573.75 and 903.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.