Home / 691.50-709.50

Finding the Third Proportional to 691.50 and 709.50

Calculator

Solution

The third proportional to 691.50 and 709.50 is: 727.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 709.50 = 709.50 : x
  2. Step 2: Convert to fraction form
    691.50/709.50 = 709.50/x
  3. Step 3: Cross multiply
    691.50x = 709.50 × 709.50
  4. Step 4: Simplify right side
    691.50x = 503,390.25
  5. Step 5: Solve for x
    x = 503,390.25/691.50
  6. Step 6: Final answer
    x = 727.97

Related Problems

Find third proportional to 345.75 and 354.75
Half scale
Find third proportional to 1,383 and 1,419
Double scale
Find third proportional to 694 and 712
Similar ratio
Find third proportional to 1,037.25 and 1,064.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.