Home / 359.50-686

Finding the Third Proportional to 359.50 and 686

Calculator

Solution

The third proportional to 359.50 and 686 is: 1,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    359.50/686 = 686/x
  3. Step 3: Cross multiply
    359.50x = 686 × 686
  4. Step 4: Simplify right side
    359.50x = 470,596
  5. Step 5: Solve for x
    x = 470,596/359.50
  6. Step 6: Final answer
    x = 1,309.03

Related Problems

Find third proportional to 179.75 and 343
Half scale
Find third proportional to 719 and 1,372
Double scale
Find third proportional to 362 and 690
Similar ratio
Find third proportional to 539.25 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.