Home / 806-1,564

Finding the Third Proportional to 806 and 1,564

Calculator

Solution

The third proportional to 806 and 1,564 is: 3,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    806 : 1,564 = 1,564 : x
  2. Step 2: Convert to fraction form
    806/1,564 = 1,564/x
  3. Step 3: Cross multiply
    806x = 1,564 × 1,564
  4. Step 4: Simplify right side
    806x = 2,446,096
  5. Step 5: Solve for x
    x = 2,446,096/806
  6. Step 6: Final answer
    x = 3,034.86

Related Problems

Find third proportional to 403 and 782
Half scale
Find third proportional to 1,612 and 3,128
Double scale
Find third proportional to 808 and 1,568
Similar ratio
Find third proportional to 1,209 and 2,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.