Home / 1,605-1,851

Finding the Third Proportional to 1,605 and 1,851

Calculator

Solution

The third proportional to 1,605 and 1,851 is: 2,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605 : 1,851 = 1,851 : x
  2. Step 2: Convert to fraction form
    1,605/1,851 = 1,851/x
  3. Step 3: Cross multiply
    1,605x = 1,851 × 1,851
  4. Step 4: Simplify right side
    1,605x = 3,426,201
  5. Step 5: Solve for x
    x = 3,426,201/1,605
  6. Step 6: Final answer
    x = 2,134.70

Related Problems

Find third proportional to 802.50 and 925.50
Half scale
Find third proportional to 3,210 and 3,702
Double scale
Find third proportional to 1,607 and 1,853
Similar ratio
Find third proportional to 2,407.50 and 2,776.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.