Home / 974-1,584

Finding the Third Proportional to 974 and 1,584

Calculator

Solution

The third proportional to 974 and 1,584 is: 2,576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,584 = 1,584 : x
  2. Step 2: Convert to fraction form
    974/1,584 = 1,584/x
  3. Step 3: Cross multiply
    974x = 1,584 × 1,584
  4. Step 4: Simplify right side
    974x = 2,509,056
  5. Step 5: Solve for x
    x = 2,509,056/974
  6. Step 6: Final answer
    x = 2,576.03

Related Problems

Find third proportional to 487 and 792
Half scale
Find third proportional to 1,948 and 3,168
Double scale
Find third proportional to 976 and 1,587
Similar ratio
Find third proportional to 1,461 and 2,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.