Home / 662.34-1,569.09

Finding the Third Proportional to 662.34 and 1,569.09

Calculator

Solution

The third proportional to 662.34 and 1,569.09 is: 3,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.34 : 1,569.09 = 1,569.09 : x
  2. Step 2: Convert to fraction form
    662.34/1,569.09 = 1,569.09/x
  3. Step 3: Cross multiply
    662.34x = 1,569.09 × 1,569.09
  4. Step 4: Simplify right side
    662.34x = 2,462,055.20
  5. Step 5: Solve for x
    x = 2,462,055.20/662.34
  6. Step 6: Final answer
    x = 3,717.19

Related Problems

Find third proportional to 331.17 and 784.55
Half scale
Find third proportional to 1,324.69 and 3,138.19
Double scale
Find third proportional to 664 and 1,574
Similar ratio
Find third proportional to 993.52 and 2,353.64
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.