Home / 504-592

Finding the Third Proportional to 504 and 592

Calculator

Solution

The third proportional to 504 and 592 is: 695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 592 = 592 : x
  2. Step 2: Convert to fraction form
    504/592 = 592/x
  3. Step 3: Cross multiply
    504x = 592 × 592
  4. Step 4: Simplify right side
    504x = 350,464
  5. Step 5: Solve for x
    x = 350,464/504
  6. Step 6: Final answer
    x = 695.37

Related Problems

Find third proportional to 252 and 296
Half scale
Find third proportional to 1,008 and 1,184
Double scale
Find third proportional to 506 and 594
Similar ratio
Find third proportional to 756 and 888
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.