Home / 361.13-524.06

Finding the Third Proportional to 361.13 and 524.06

Calculator

Solution

The third proportional to 361.13 and 524.06 is: 760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 524.06 = 524.06 : x
  2. Step 2: Convert to fraction form
    361.13/524.06 = 524.06/x
  3. Step 3: Cross multiply
    361.13x = 524.06 × 524.06
  4. Step 4: Simplify right side
    361.13x = 274,641.50
  5. Step 5: Solve for x
    x = 274,641.50/361.13
  6. Step 6: Final answer
    x = 760.52

Related Problems

Find third proportional to 180.56 and 262.03
Half scale
Find third proportional to 722.25 and 1,048.13
Double scale
Find third proportional to 363 and 527
Similar ratio
Find third proportional to 541.69 and 786.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.