Home / 528-964

Finding the Third Proportional to 528 and 964

Calculator

Solution

The third proportional to 528 and 964 is: 1,760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 964 = 964 : x
  2. Step 2: Convert to fraction form
    528/964 = 964/x
  3. Step 3: Cross multiply
    528x = 964 × 964
  4. Step 4: Simplify right side
    528x = 929,296
  5. Step 5: Solve for x
    x = 929,296/528
  6. Step 6: Final answer
    x = 1,760.03

Related Problems

Find third proportional to 264 and 482
Half scale
Find third proportional to 1,056 and 1,928
Double scale
Find third proportional to 530 and 968
Similar ratio
Find third proportional to 792 and 1,446
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.