Home / 1,089-1,609

Finding the Third Proportional to 1,089 and 1,609

Calculator

Solution

The third proportional to 1,089 and 1,609 is: 2,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089 : 1,609 = 1,609 : x
  2. Step 2: Convert to fraction form
    1,089/1,609 = 1,609/x
  3. Step 3: Cross multiply
    1,089x = 1,609 × 1,609
  4. Step 4: Simplify right side
    1,089x = 2,588,881
  5. Step 5: Solve for x
    x = 2,588,881/1,089
  6. Step 6: Final answer
    x = 2,377.30

Related Problems

Find third proportional to 544.50 and 804.50
Half scale
Find third proportional to 2,178 and 3,218
Double scale
Find third proportional to 1,091 and 1,612
Similar ratio
Find third proportional to 1,633.50 and 2,413.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.