Home / 152.13-357.19

Finding the Third Proportional to 152.13 and 357.19

Calculator

Solution

The third proportional to 152.13 and 357.19 is: 838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.13 : 357.19 = 357.19 : x
  2. Step 2: Convert to fraction form
    152.13/357.19 = 357.19/x
  3. Step 3: Cross multiply
    152.13x = 357.19 × 357.19
  4. Step 4: Simplify right side
    152.13x = 127,582.91
  5. Step 5: Solve for x
    x = 127,582.91/152.13
  6. Step 6: Final answer
    x = 838.67

Related Problems

Find third proportional to 76.06 and 178.59
Half scale
Find third proportional to 304.25 and 714.38
Double scale
Find third proportional to 154 and 362
Similar ratio
Find third proportional to 228.19 and 535.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.