Home / 520-928

Finding the Third Proportional to 520 and 928

Calculator

Solution

The third proportional to 520 and 928 is: 1,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 928 = 928 : x
  2. Step 2: Convert to fraction form
    520/928 = 928/x
  3. Step 3: Cross multiply
    520x = 928 × 928
  4. Step 4: Simplify right side
    520x = 861,184
  5. Step 5: Solve for x
    x = 861,184/520
  6. Step 6: Final answer
    x = 1,656.12

Related Problems

Find third proportional to 260 and 464
Half scale
Find third proportional to 1,040 and 1,856
Double scale
Find third proportional to 522 and 932
Similar ratio
Find third proportional to 780 and 1,392
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.