Home / 172.78-305.06

Finding the Third Proportional to 172.78 and 305.06

Calculator

Solution

The third proportional to 172.78 and 305.06 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.78 : 305.06 = 305.06 : x
  2. Step 2: Convert to fraction form
    172.78/305.06 = 305.06/x
  3. Step 3: Cross multiply
    172.78x = 305.06 × 305.06
  4. Step 4: Simplify right side
    172.78x = 93,063.13
  5. Step 5: Solve for x
    x = 93,063.13/172.78
  6. Step 6: Final answer
    x = 538.62

Related Problems

Find third proportional to 86.39 and 152.53
Half scale
Find third proportional to 345.56 and 610.13
Double scale
Find third proportional to 175 and 309
Similar ratio
Find third proportional to 259.17 and 457.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.