Home / 5,300-7,701

Finding the Third Proportional to 5,300 and 7,701

Calculator

Solution

The third proportional to 5,300 and 7,701 is: 11,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300 : 7,701 = 7,701 : x
  2. Step 2: Convert to fraction form
    5,300/7,701 = 7,701/x
  3. Step 3: Cross multiply
    5,300x = 7,701 × 7,701
  4. Step 4: Simplify right side
    5,300x = 59,305,401
  5. Step 5: Solve for x
    x = 59,305,401/5,300
  6. Step 6: Final answer
    x = 11,189.70

Related Problems

Find third proportional to 2,650 and 3,850.50
Half scale
Find third proportional to 10,600 and 15,402
Double scale
Find third proportional to 5,302 and 7,704
Similar ratio
Find third proportional to 7,950 and 11,551.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.