Home / 242.50-564.75

Finding the Third Proportional to 242.50 and 564.75

Calculator

Solution

The third proportional to 242.50 and 564.75 is: 1,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.50 : 564.75 = 564.75 : x
  2. Step 2: Convert to fraction form
    242.50/564.75 = 564.75/x
  3. Step 3: Cross multiply
    242.50x = 564.75 × 564.75
  4. Step 4: Simplify right side
    242.50x = 318,942.56
  5. Step 5: Solve for x
    x = 318,942.56/242.50
  6. Step 6: Final answer
    x = 1,315.23

Related Problems

Find third proportional to 121.25 and 282.38
Half scale
Find third proportional to 485 and 1,129.50
Double scale
Find third proportional to 245 and 569
Similar ratio
Find third proportional to 363.75 and 847.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.