Home / 519-786

Finding the Third Proportional to 519 and 786

Calculator

Solution

The third proportional to 519 and 786 is: 1,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 786 = 786 : x
  2. Step 2: Convert to fraction form
    519/786 = 786/x
  3. Step 3: Cross multiply
    519x = 786 × 786
  4. Step 4: Simplify right side
    519x = 617,796
  5. Step 5: Solve for x
    x = 617,796/519
  6. Step 6: Final answer
    x = 1,190.36

Related Problems

Find third proportional to 259.50 and 393
Half scale
Find third proportional to 1,038 and 1,572
Double scale
Find third proportional to 521 and 789
Similar ratio
Find third proportional to 778.50 and 1,179
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.