Home / 1,664-1,907

Finding the Third Proportional to 1,664 and 1,907

Calculator

Solution

The third proportional to 1,664 and 1,907 is: 2,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664 : 1,907 = 1,907 : x
  2. Step 2: Convert to fraction form
    1,664/1,907 = 1,907/x
  3. Step 3: Cross multiply
    1,664x = 1,907 × 1,907
  4. Step 4: Simplify right side
    1,664x = 3,636,649
  5. Step 5: Solve for x
    x = 3,636,649/1,664
  6. Step 6: Final answer
    x = 2,185.49

Related Problems

Find third proportional to 832 and 953.50
Half scale
Find third proportional to 3,328 and 3,814
Double scale
Find third proportional to 1,666 and 1,909
Similar ratio
Find third proportional to 2,496 and 2,860.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.