Home / 291.09-446.13

Finding the Third Proportional to 291.09 and 446.13

Calculator

Solution

The third proportional to 291.09 and 446.13 is: 683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.09 : 446.13 = 446.13 : x
  2. Step 2: Convert to fraction form
    291.09/446.13 = 446.13/x
  3. Step 3: Cross multiply
    291.09x = 446.13 × 446.13
  4. Step 4: Simplify right side
    291.09x = 199,034.49
  5. Step 5: Solve for x
    x = 199,034.49/291.09
  6. Step 6: Final answer
    x = 683.75

Related Problems

Find third proportional to 145.55 and 223.07
Half scale
Find third proportional to 582.19 and 892.27
Double scale
Find third proportional to 293 and 449
Similar ratio
Find third proportional to 436.64 and 669.20
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.