Home / 117.69-257.81

Finding the Third Proportional to 117.69 and 257.81

Calculator

Solution

The third proportional to 117.69 and 257.81 is: 564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.69 : 257.81 = 257.81 : x
  2. Step 2: Convert to fraction form
    117.69/257.81 = 257.81/x
  3. Step 3: Cross multiply
    117.69x = 257.81 × 257.81
  4. Step 4: Simplify right side
    117.69x = 66,467.29
  5. Step 5: Solve for x
    x = 66,467.29/117.69
  6. Step 6: Final answer
    x = 564.78

Related Problems

Find third proportional to 58.84 and 128.91
Half scale
Find third proportional to 235.38 and 515.63
Double scale
Find third proportional to 120 and 262
Similar ratio
Find third proportional to 176.53 and 386.72
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.