Home / 1,428-1,732

Finding the Third Proportional to 1,428 and 1,732

Calculator

Solution

The third proportional to 1,428 and 1,732 is: 2,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428 : 1,732 = 1,732 : x
  2. Step 2: Convert to fraction form
    1,428/1,732 = 1,732/x
  3. Step 3: Cross multiply
    1,428x = 1,732 × 1,732
  4. Step 4: Simplify right side
    1,428x = 2,999,824
  5. Step 5: Solve for x
    x = 2,999,824/1,428
  6. Step 6: Final answer
    x = 2,100.72

Related Problems

Find third proportional to 714 and 866
Half scale
Find third proportional to 2,856 and 3,464
Double scale
Find third proportional to 1,430 and 1,734
Similar ratio
Find third proportional to 2,142 and 2,598
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.