Home / 409.50-609.19

Finding the Third Proportional to 409.50 and 609.19

Calculator

Solution

The third proportional to 409.50 and 609.19 is: 906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 609.19 = 609.19 : x
  2. Step 2: Convert to fraction form
    409.50/609.19 = 609.19/x
  3. Step 3: Cross multiply
    409.50x = 609.19 × 609.19
  4. Step 4: Simplify right side
    409.50x = 371,109.41
  5. Step 5: Solve for x
    x = 371,109.41/409.50
  6. Step 6: Final answer
    x = 906.25

Related Problems

Find third proportional to 204.75 and 304.59
Half scale
Find third proportional to 819 and 1,218.38
Double scale
Find third proportional to 412 and 612
Similar ratio
Find third proportional to 614.25 and 913.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.