Home / 334.13-458.16

Finding the Third Proportional to 334.13 and 458.16

Calculator

Solution

The third proportional to 334.13 and 458.16 is: 628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.13 : 458.16 = 458.16 : x
  2. Step 2: Convert to fraction form
    334.13/458.16 = 458.16/x
  3. Step 3: Cross multiply
    334.13x = 458.16 × 458.16
  4. Step 4: Simplify right side
    334.13x = 209,907.15
  5. Step 5: Solve for x
    x = 209,907.15/334.13
  6. Step 6: Final answer
    x = 628.23

Related Problems

Find third proportional to 167.06 and 229.08
Half scale
Find third proportional to 668.25 and 916.31
Double scale
Find third proportional to 336 and 461
Similar ratio
Find third proportional to 501.19 and 687.23
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.