Home / 1,664-2,571

Finding the Third Proportional to 1,664 and 2,571

Calculator

Solution

The third proportional to 1,664 and 2,571 is: 3,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664 : 2,571 = 2,571 : x
  2. Step 2: Convert to fraction form
    1,664/2,571 = 2,571/x
  3. Step 3: Cross multiply
    1,664x = 2,571 × 2,571
  4. Step 4: Simplify right side
    1,664x = 6,610,041
  5. Step 5: Solve for x
    x = 6,610,041/1,664
  6. Step 6: Final answer
    x = 3,972.38

Related Problems

Find third proportional to 832 and 1,285.50
Half scale
Find third proportional to 3,328 and 5,142
Double scale
Find third proportional to 1,666 and 2,574
Similar ratio
Find third proportional to 2,496 and 3,856.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.