Home / 6,400-9,788

Finding the Third Proportional to 6,400 and 9,788

Calculator

Solution

The third proportional to 6,400 and 9,788 is: 14,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 9,788 = 9,788 : x
  2. Step 2: Convert to fraction form
    6,400/9,788 = 9,788/x
  3. Step 3: Cross multiply
    6,400x = 9,788 × 9,788
  4. Step 4: Simplify right side
    6,400x = 95,804,944
  5. Step 5: Solve for x
    x = 95,804,944/6,400
  6. Step 6: Final answer
    x = 14,969.52

Related Problems

Find third proportional to 3,200 and 4,894
Half scale
Find third proportional to 12,800 and 19,576
Double scale
Find third proportional to 6,402 and 9,791
Similar ratio
Find third proportional to 9,600 and 14,682
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.