Home / 6,300-9,814

Finding the Third Proportional to 6,300 and 9,814

Calculator

Solution

The third proportional to 6,300 and 9,814 is: 15,288.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300 : 9,814 = 9,814 : x
  2. Step 2: Convert to fraction form
    6,300/9,814 = 9,814/x
  3. Step 3: Cross multiply
    6,300x = 9,814 × 9,814
  4. Step 4: Simplify right side
    6,300x = 96,314,596
  5. Step 5: Solve for x
    x = 96,314,596/6,300
  6. Step 6: Final answer
    x = 15,288.03

Related Problems

Find third proportional to 3,150 and 4,907
Half scale
Find third proportional to 12,600 and 19,628
Double scale
Find third proportional to 6,302 and 9,817
Similar ratio
Find third proportional to 9,450 and 14,721
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.