Home / 1,357-1,489

Finding the Third Proportional to 1,357 and 1,489

Calculator

Solution

The third proportional to 1,357 and 1,489 is: 1,633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357 : 1,489 = 1,489 : x
  2. Step 2: Convert to fraction form
    1,357/1,489 = 1,489/x
  3. Step 3: Cross multiply
    1,357x = 1,489 × 1,489
  4. Step 4: Simplify right side
    1,357x = 2,217,121
  5. Step 5: Solve for x
    x = 2,217,121/1,357
  6. Step 6: Final answer
    x = 1,633.84

Related Problems

Find third proportional to 678.50 and 744.50
Half scale
Find third proportional to 2,714 and 2,978
Double scale
Find third proportional to 1,359 and 1,491
Similar ratio
Find third proportional to 2,035.50 and 2,233.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.