Home / 315.66-417.09

Finding the Third Proportional to 315.66 and 417.09

Calculator

Solution

The third proportional to 315.66 and 417.09 is: 551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 417.09 = 417.09 : x
  2. Step 2: Convert to fraction form
    315.66/417.09 = 417.09/x
  3. Step 3: Cross multiply
    315.66x = 417.09 × 417.09
  4. Step 4: Simplify right side
    315.66x = 173,967.20
  5. Step 5: Solve for x
    x = 173,967.20/315.66
  6. Step 6: Final answer
    x = 551.13

Related Problems

Find third proportional to 157.83 and 208.55
Half scale
Find third proportional to 631.31 and 834.19
Double scale
Find third proportional to 318 and 420
Similar ratio
Find third proportional to 473.48 and 625.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.