Home / 148-314.88

Finding the Third Proportional to 148 and 314.88

Calculator

Solution

The third proportional to 148 and 314.88 is: 669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 314.88 = 314.88 : x
  2. Step 2: Convert to fraction form
    148/314.88 = 314.88/x
  3. Step 3: Cross multiply
    148x = 314.88 × 314.88
  4. Step 4: Simplify right side
    148x = 99,146.27
  5. Step 5: Solve for x
    x = 99,146.27/148
  6. Step 6: Final answer
    x = 669.91

Related Problems

Find third proportional to 74 and 157.44
Half scale
Find third proportional to 296 and 629.75
Double scale
Find third proportional to 150 and 319
Similar ratio
Find third proportional to 222 and 472.31
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.