Home / 1,660-3,754

Finding the Third Proportional to 1,660 and 3,754

Calculator

Solution

The third proportional to 1,660 and 3,754 is: 8,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660 : 3,754 = 3,754 : x
  2. Step 2: Convert to fraction form
    1,660/3,754 = 3,754/x
  3. Step 3: Cross multiply
    1,660x = 3,754 × 3,754
  4. Step 4: Simplify right side
    1,660x = 14,092,516
  5. Step 5: Solve for x
    x = 14,092,516/1,660
  6. Step 6: Final answer
    x = 8,489.47

Related Problems

Find third proportional to 830 and 1,877
Half scale
Find third proportional to 3,320 and 7,508
Double scale
Find third proportional to 1,662 and 3,759
Similar ratio
Find third proportional to 2,490 and 5,631
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.