Home / 202.50-306

Finding the Third Proportional to 202.50 and 306

Calculator

Solution

The third proportional to 202.50 and 306 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 306 = 306 : x
  2. Step 2: Convert to fraction form
    202.50/306 = 306/x
  3. Step 3: Cross multiply
    202.50x = 306 × 306
  4. Step 4: Simplify right side
    202.50x = 93,636
  5. Step 5: Solve for x
    x = 93,636/202.50
  6. Step 6: Final answer
    x = 462.40

Related Problems

Find third proportional to 101.25 and 153
Half scale
Find third proportional to 405 and 612
Double scale
Find third proportional to 205 and 309
Similar ratio
Find third proportional to 303.75 and 459
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.