Home / 6,698-10,320

Finding the Third Proportional to 6,698 and 10,320

Calculator

Solution

The third proportional to 6,698 and 10,320 is: 15,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698 : 10,320 = 10,320 : x
  2. Step 2: Convert to fraction form
    6,698/10,320 = 10,320/x
  3. Step 3: Cross multiply
    6,698x = 10,320 × 10,320
  4. Step 4: Simplify right side
    6,698x = 106,502,400
  5. Step 5: Solve for x
    x = 106,502,400/6,698
  6. Step 6: Final answer
    x = 15,900.63

Related Problems

Find third proportional to 3,349 and 5,160
Half scale
Find third proportional to 13,396 and 20,640
Double scale
Find third proportional to 6,700 and 10,323
Similar ratio
Find third proportional to 10,047 and 15,480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.