Home / 148.50-172.13

Finding the Third Proportional to 148.50 and 172.13

Calculator

Solution

The third proportional to 148.50 and 172.13 is: 199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 172.13 = 172.13 : x
  2. Step 2: Convert to fraction form
    148.50/172.13 = 172.13/x
  3. Step 3: Cross multiply
    148.50x = 172.13 × 172.13
  4. Step 4: Simplify right side
    148.50x = 29,627.02
  5. Step 5: Solve for x
    x = 29,627.02/148.50
  6. Step 6: Final answer
    x = 199.51

Related Problems

Find third proportional to 74.25 and 86.06
Half scale
Find third proportional to 297 and 344.25
Double scale
Find third proportional to 151 and 174
Similar ratio
Find third proportional to 222.75 and 258.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.