Home / 190.13-471.09

Finding the Third Proportional to 190.13 and 471.09

Calculator

Solution

The third proportional to 190.13 and 471.09 is: 1,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.13 : 471.09 = 471.09 : x
  2. Step 2: Convert to fraction form
    190.13/471.09 = 471.09/x
  3. Step 3: Cross multiply
    190.13x = 471.09 × 471.09
  4. Step 4: Simplify right side
    190.13x = 221,929.32
  5. Step 5: Solve for x
    x = 221,929.32/190.13
  6. Step 6: Final answer
    x = 1,167.28

Related Problems

Find third proportional to 95.06 and 235.55
Half scale
Find third proportional to 380.25 and 942.19
Double scale
Find third proportional to 192 and 476
Similar ratio
Find third proportional to 285.19 and 706.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.