Home / 297-686

Finding the Third Proportional to 297 and 686

Calculator

Solution

The third proportional to 297 and 686 is: 1,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 686 = 686 : x
  2. Step 2: Convert to fraction form
    297/686 = 686/x
  3. Step 3: Cross multiply
    297x = 686 × 686
  4. Step 4: Simplify right side
    297x = 470,596
  5. Step 5: Solve for x
    x = 470,596/297
  6. Step 6: Final answer
    x = 1,584.50

Related Problems

Find third proportional to 148.50 and 343
Half scale
Find third proportional to 594 and 1,372
Double scale
Find third proportional to 299 and 691
Similar ratio
Find third proportional to 445.50 and 1,029
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.