Home / 1,564-4,162

Finding the Third Proportional to 1,564 and 4,162

Calculator

Solution

The third proportional to 1,564 and 4,162 is: 11,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564 : 4,162 = 4,162 : x
  2. Step 2: Convert to fraction form
    1,564/4,162 = 4,162/x
  3. Step 3: Cross multiply
    1,564x = 4,162 × 4,162
  4. Step 4: Simplify right side
    1,564x = 17,322,244
  5. Step 5: Solve for x
    x = 17,322,244/1,564
  6. Step 6: Final answer
    x = 11,075.60

Related Problems

Find third proportional to 782 and 2,081
Half scale
Find third proportional to 3,128 and 8,324
Double scale
Find third proportional to 1,566 and 4,167
Similar ratio
Find third proportional to 2,346 and 6,243
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.