Home / 561.94-691.03

Finding the Third Proportional to 561.94 and 691.03

Calculator

Solution

The third proportional to 561.94 and 691.03 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.94 : 691.03 = 691.03 : x
  2. Step 2: Convert to fraction form
    561.94/691.03 = 691.03/x
  3. Step 3: Cross multiply
    561.94x = 691.03 × 691.03
  4. Step 4: Simplify right side
    561.94x = 477,524.19
  5. Step 5: Solve for x
    x = 477,524.19/561.94
  6. Step 6: Final answer
    x = 849.78

Related Problems

Find third proportional to 280.97 and 345.52
Half scale
Find third proportional to 1,123.88 and 1,382.06
Double scale
Find third proportional to 564 and 693
Similar ratio
Find third proportional to 842.91 and 1,036.55
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.