Home / 1,695-1,831

Finding the Third Proportional to 1,695 and 1,831

Calculator

Solution

The third proportional to 1,695 and 1,831 is: 1,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695 : 1,831 = 1,831 : x
  2. Step 2: Convert to fraction form
    1,695/1,831 = 1,831/x
  3. Step 3: Cross multiply
    1,695x = 1,831 × 1,831
  4. Step 4: Simplify right side
    1,695x = 3,352,561
  5. Step 5: Solve for x
    x = 3,352,561/1,695
  6. Step 6: Final answer
    x = 1,977.91

Related Problems

Find third proportional to 847.50 and 915.50
Half scale
Find third proportional to 3,390 and 3,662
Double scale
Find third proportional to 1,697 and 1,833
Similar ratio
Find third proportional to 2,542.50 and 2,746.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.