Home / 769-1,565

Finding the Third Proportional to 769 and 1,565

Calculator

Solution

The third proportional to 769 and 1,565 is: 3,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    769 : 1,565 = 1,565 : x
  2. Step 2: Convert to fraction form
    769/1,565 = 1,565/x
  3. Step 3: Cross multiply
    769x = 1,565 × 1,565
  4. Step 4: Simplify right side
    769x = 2,449,225
  5. Step 5: Solve for x
    x = 2,449,225/769
  6. Step 6: Final answer
    x = 3,184.95

Related Problems

Find third proportional to 384.50 and 782.50
Half scale
Find third proportional to 1,538 and 3,130
Double scale
Find third proportional to 771 and 1,569
Similar ratio
Find third proportional to 1,153.50 and 2,347.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.