Home / 137.53-302.06

Finding the Third Proportional to 137.53 and 302.06

Calculator

Solution

The third proportional to 137.53 and 302.06 is: 663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.53 : 302.06 = 302.06 : x
  2. Step 2: Convert to fraction form
    137.53/302.06 = 302.06/x
  3. Step 3: Cross multiply
    137.53x = 302.06 × 302.06
  4. Step 4: Simplify right side
    137.53x = 91,241.75
  5. Step 5: Solve for x
    x = 91,241.75/137.53
  6. Step 6: Final answer
    x = 663.43

Related Problems

Find third proportional to 68.77 and 151.03
Half scale
Find third proportional to 275.06 and 604.13
Double scale
Find third proportional to 140 and 306
Similar ratio
Find third proportional to 206.30 and 453.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.