Home / 1,574-1,997

Finding the Third Proportional to 1,574 and 1,997

Calculator

Solution

The third proportional to 1,574 and 1,997 is: 2,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574 : 1,997 = 1,997 : x
  2. Step 2: Convert to fraction form
    1,574/1,997 = 1,997/x
  3. Step 3: Cross multiply
    1,574x = 1,997 × 1,997
  4. Step 4: Simplify right side
    1,574x = 3,988,009
  5. Step 5: Solve for x
    x = 3,988,009/1,574
  6. Step 6: Final answer
    x = 2,533.68

Related Problems

Find third proportional to 787 and 998.50
Half scale
Find third proportional to 3,148 and 3,994
Double scale
Find third proportional to 1,576 and 2,000
Similar ratio
Find third proportional to 2,361 and 2,995.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.