Home / 177.75-309

Finding the Third Proportional to 177.75 and 309

Calculator

Solution

The third proportional to 177.75 and 309 is: 537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    177.75/309 = 309/x
  3. Step 3: Cross multiply
    177.75x = 309 × 309
  4. Step 4: Simplify right side
    177.75x = 95,481
  5. Step 5: Solve for x
    x = 95,481/177.75
  6. Step 6: Final answer
    x = 537.16

Related Problems

Find third proportional to 88.88 and 154.50
Half scale
Find third proportional to 355.50 and 618
Double scale
Find third proportional to 180 and 312
Similar ratio
Find third proportional to 266.63 and 463.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.