Home / 364.50-687

Finding the Third Proportional to 364.50 and 687

Calculator

Solution

The third proportional to 364.50 and 687 is: 1,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.50 : 687 = 687 : x
  2. Step 2: Convert to fraction form
    364.50/687 = 687/x
  3. Step 3: Cross multiply
    364.50x = 687 × 687
  4. Step 4: Simplify right side
    364.50x = 471,969
  5. Step 5: Solve for x
    x = 471,969/364.50
  6. Step 6: Final answer
    x = 1,294.84

Related Problems

Find third proportional to 182.25 and 343.50
Half scale
Find third proportional to 729 and 1,374
Double scale
Find third proportional to 367 and 691
Similar ratio
Find third proportional to 546.75 and 1,030.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.