Home / 964-1,584

Finding the Third Proportional to 964 and 1,584

Calculator

Solution

The third proportional to 964 and 1,584 is: 2,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    964 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    964/1,584 = 1,584/x
  3. Step 3: Cross multiply
    964x = 1,584 × 1,584
  4. Step 4: Simplify right side
    964x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/964
  6. Step 6: Final answer
    x = 2,602.76

Related Problems

Find third proportional to 482 and 792
Half scale
Find third proportional to 1,928 and 3,168
Double scale
Find third proportional to 966 and 1,587
Similar ratio
Find third proportional to 1,446 and 2,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.