Home / 693-1,565

Finding the Third Proportional to 693 and 1,565

Calculator

Solution

The third proportional to 693 and 1,565 is: 3,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693 : 1,565 = 1,565 : x
  2. Step 2: Convert to fraction form
    693/1,565 = 1,565/x
  3. Step 3: Cross multiply
    693x = 1,565 × 1,565
  4. Step 4: Simplify right side
    693x = 2,449,225
  5. Step 5: Solve for x
    x = 2,449,225/693
  6. Step 6: Final answer
    x = 3,534.24

Related Problems

Find third proportional to 346.50 and 782.50
Half scale
Find third proportional to 1,386 and 3,130
Double scale
Find third proportional to 695 and 1,570
Similar ratio
Find third proportional to 1,039.50 and 2,347.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.