Home / 509-625

Finding the Third Proportional to 509 and 625

Calculator

Solution

The third proportional to 509 and 625 is: 767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 625 = 625 : x
  2. Step 2: Convert to fraction form
    509/625 = 625/x
  3. Step 3: Cross multiply
    509x = 625 × 625
  4. Step 4: Simplify right side
    509x = 390,625
  5. Step 5: Solve for x
    x = 390,625/509
  6. Step 6: Final answer
    x = 767.44

Related Problems

Find third proportional to 254.50 and 312.50
Half scale
Find third proportional to 1,018 and 1,250
Double scale
Find third proportional to 511 and 627
Similar ratio
Find third proportional to 763.50 and 937.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.