Home / 999.84-1,209.09

Finding the Third Proportional to 999.84 and 1,209.09

Calculator

Solution

The third proportional to 999.84 and 1,209.09 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.84 : 1,209.09 = 1,209.09 : x
  2. Step 2: Convert to fraction form
    999.84/1,209.09 = 1,209.09/x
  3. Step 3: Cross multiply
    999.84x = 1,209.09 × 1,209.09
  4. Step 4: Simplify right side
    999.84x = 1,461,907.70
  5. Step 5: Solve for x
    x = 1,461,907.70/999.84
  6. Step 6: Final answer
    x = 1,462.14

Related Problems

Find third proportional to 499.92 and 604.55
Half scale
Find third proportional to 1,999.69 and 2,418.19
Double scale
Find third proportional to 1,002 and 1,212
Similar ratio
Find third proportional to 1,499.77 and 1,813.64
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.