Home / 145.13-205.03

Finding the Third Proportional to 145.13 and 205.03

Calculator

Solution

The third proportional to 145.13 and 205.03 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 205.03 = 205.03 : x
  2. Step 2: Convert to fraction form
    145.13/205.03 = 205.03/x
  3. Step 3: Cross multiply
    145.13x = 205.03 × 205.03
  4. Step 4: Simplify right side
    145.13x = 42,037.81
  5. Step 5: Solve for x
    x = 42,037.81/145.13
  6. Step 6: Final answer
    x = 289.67

Related Problems

Find third proportional to 72.56 and 102.52
Half scale
Find third proportional to 290.25 and 410.06
Double scale
Find third proportional to 147 and 208
Similar ratio
Find third proportional to 217.69 and 307.55
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.