Home / 157.13-205.69

Finding the Third Proportional to 157.13 and 205.69

Calculator

Solution

The third proportional to 157.13 and 205.69 is: 269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 205.69 = 205.69 : x
  2. Step 2: Convert to fraction form
    157.13/205.69 = 205.69/x
  3. Step 3: Cross multiply
    157.13x = 205.69 × 205.69
  4. Step 4: Simplify right side
    157.13x = 42,307.35
  5. Step 5: Solve for x
    x = 42,307.35/157.13
  6. Step 6: Final answer
    x = 269.26

Related Problems

Find third proportional to 78.56 and 102.84
Half scale
Find third proportional to 314.25 and 411.38
Double scale
Find third proportional to 159 and 208
Similar ratio
Find third proportional to 235.69 and 308.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.