Home / 665.25-1,569.19

Finding the Third Proportional to 665.25 and 1,569.19

Calculator

Solution

The third proportional to 665.25 and 1,569.19 is: 3,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.25 : 1,569.19 = 1,569.19 : x
  2. Step 2: Convert to fraction form
    665.25/1,569.19 = 1,569.19/x
  3. Step 3: Cross multiply
    665.25x = 1,569.19 × 1,569.19
  4. Step 4: Simplify right side
    665.25x = 2,462,349.41
  5. Step 5: Solve for x
    x = 2,462,349.41/665.25
  6. Step 6: Final answer
    x = 3,701.39

Related Problems

Find third proportional to 332.63 and 784.59
Half scale
Find third proportional to 1,330.50 and 3,138.38
Double scale
Find third proportional to 667 and 1,574
Similar ratio
Find third proportional to 997.88 and 2,353.78
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.