Home / 563-806

Finding the Third Proportional to 563 and 806

Calculator

Solution

The third proportional to 563 and 806 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 806 = 806 : x
  2. Step 2: Convert to fraction form
    563/806 = 806/x
  3. Step 3: Cross multiply
    563x = 806 × 806
  4. Step 4: Simplify right side
    563x = 649,636
  5. Step 5: Solve for x
    x = 649,636/563
  6. Step 6: Final answer
    x = 1,153.88

Related Problems

Find third proportional to 281.50 and 403
Half scale
Find third proportional to 1,126 and 1,612
Double scale
Find third proportional to 565 and 809
Similar ratio
Find third proportional to 844.50 and 1,209
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.