Home / 469.50-509.25

Finding the Third Proportional to 469.50 and 509.25

Calculator

Solution

The third proportional to 469.50 and 509.25 is: 552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 509.25 = 509.25 : x
  2. Step 2: Convert to fraction form
    469.50/509.25 = 509.25/x
  3. Step 3: Cross multiply
    469.50x = 509.25 × 509.25
  4. Step 4: Simplify right side
    469.50x = 259,335.56
  5. Step 5: Solve for x
    x = 259,335.56/469.50
  6. Step 6: Final answer
    x = 552.37

Related Problems

Find third proportional to 234.75 and 254.63
Half scale
Find third proportional to 939 and 1,018.50
Double scale
Find third proportional to 472 and 511
Similar ratio
Find third proportional to 704.25 and 763.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.