Home / 1,564-3,344

Finding the Third Proportional to 1,564 and 3,344

Calculator

Solution

The third proportional to 1,564 and 3,344 is: 7,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564 : 3,344 = 3,344 : x
  2. Step 2: Convert to fraction form
    1,564/3,344 = 3,344/x
  3. Step 3: Cross multiply
    1,564x = 3,344 × 3,344
  4. Step 4: Simplify right side
    1,564x = 11,182,336
  5. Step 5: Solve for x
    x = 11,182,336/1,564
  6. Step 6: Final answer
    x = 7,149.83

Related Problems

Find third proportional to 782 and 1,672
Half scale
Find third proportional to 3,128 and 6,688
Double scale
Find third proportional to 1,566 and 3,348
Similar ratio
Find third proportional to 2,346 and 5,016
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.