Home / 369-691

Finding the Third Proportional to 369 and 691

Calculator

Solution

The third proportional to 369 and 691 is: 1,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 691 = 691 : x
  2. Step 2: Convert to fraction form
    369/691 = 691/x
  3. Step 3: Cross multiply
    369x = 691 × 691
  4. Step 4: Simplify right side
    369x = 477,481
  5. Step 5: Solve for x
    x = 477,481/369
  6. Step 6: Final answer
    x = 1,293.99

Related Problems

Find third proportional to 184.50 and 345.50
Half scale
Find third proportional to 738 and 1,382
Double scale
Find third proportional to 371 and 695
Similar ratio
Find third proportional to 553.50 and 1,036.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.