Home / 426-565.25

Finding the Third Proportional to 426 and 565.25

Calculator

Solution

The third proportional to 426 and 565.25 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 565.25 = 565.25 : x
  2. Step 2: Convert to fraction form
    426/565.25 = 565.25/x
  3. Step 3: Cross multiply
    426x = 565.25 × 565.25
  4. Step 4: Simplify right side
    426x = 319,507.56
  5. Step 5: Solve for x
    x = 319,507.56/426
  6. Step 6: Final answer
    x = 750.02

Related Problems

Find third proportional to 213 and 282.63
Half scale
Find third proportional to 852 and 1,130.50
Double scale
Find third proportional to 428 and 568
Similar ratio
Find third proportional to 639 and 847.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.