Home / 6,400-9,698

Finding the Third Proportional to 6,400 and 9,698

Calculator

Solution

The third proportional to 6,400 and 9,698 is: 14,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 9,698 = 9,698 : x
  2. Step 2: Convert to fraction form
    6,400/9,698 = 9,698/x
  3. Step 3: Cross multiply
    6,400x = 9,698 × 9,698
  4. Step 4: Simplify right side
    6,400x = 94,051,204
  5. Step 5: Solve for x
    x = 94,051,204/6,400
  6. Step 6: Final answer
    x = 14,695.50

Related Problems

Find third proportional to 3,200 and 4,849
Half scale
Find third proportional to 12,800 and 19,396
Double scale
Find third proportional to 6,402 and 9,701
Similar ratio
Find third proportional to 9,600 and 14,547
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.