Home / 547-691

Finding the Third Proportional to 547 and 691

Calculator

Solution

The third proportional to 547 and 691 is: 872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547 : 691 = 691 : x
  2. Step 2: Convert to fraction form
    547/691 = 691/x
  3. Step 3: Cross multiply
    547x = 691 × 691
  4. Step 4: Simplify right side
    547x = 477,481
  5. Step 5: Solve for x
    x = 477,481/547
  6. Step 6: Final answer
    x = 872.91

Related Problems

Find third proportional to 273.50 and 345.50
Half scale
Find third proportional to 1,094 and 1,382
Double scale
Find third proportional to 549 and 694
Similar ratio
Find third proportional to 820.50 and 1,036.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.