Home / 591.50-686

Finding the Third Proportional to 591.50 and 686

Calculator

Solution

The third proportional to 591.50 and 686 is: 795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.50 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    591.50/686 = 686/x
  3. Step 3: Cross multiply
    591.50x = 686 × 686
  4. Step 4: Simplify right side
    591.50x = 470,596
  5. Step 5: Solve for x
    x = 470,596/591.50
  6. Step 6: Final answer
    x = 795.60

Related Problems

Find third proportional to 295.75 and 343
Half scale
Find third proportional to 1,183 and 1,372
Double scale
Find third proportional to 594 and 688
Similar ratio
Find third proportional to 887.25 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.