Home / 130.50-177.75

Finding the Third Proportional to 130.50 and 177.75

Calculator

Solution

The third proportional to 130.50 and 177.75 is: 242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.50 : 177.75 = 177.75 : x
  2. Step 2: Convert to fraction form
    130.50/177.75 = 177.75/x
  3. Step 3: Cross multiply
    130.50x = 177.75 × 177.75
  4. Step 4: Simplify right side
    130.50x = 31,595.06
  5. Step 5: Solve for x
    x = 31,595.06/130.50
  6. Step 6: Final answer
    x = 242.11

Related Problems

Find third proportional to 65.25 and 88.88
Half scale
Find third proportional to 261 and 355.50
Double scale
Find third proportional to 133 and 180
Similar ratio
Find third proportional to 195.75 and 266.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.