Home / 765-1,538

Finding the Third Proportional to 765 and 1,538

Calculator

Solution

The third proportional to 765 and 1,538 is: 3,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,538 = 1,538 : x
  2. Step 2: Convert to fraction form
    765/1,538 = 1,538/x
  3. Step 3: Cross multiply
    765x = 1,538 × 1,538
  4. Step 4: Simplify right side
    765x = 2,365,444
  5. Step 5: Solve for x
    x = 2,365,444/765
  6. Step 6: Final answer
    x = 3,092.08

Related Problems

Find third proportional to 382.50 and 769
Half scale
Find third proportional to 1,530 and 3,076
Double scale
Find third proportional to 767 and 1,542
Similar ratio
Find third proportional to 1,147.50 and 2,307
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.