Home / 12,698-19,369.50

Finding the Third Proportional to 12,698 and 19,369.50

Calculator

Solution

The third proportional to 12,698 and 19,369.50 is: 29,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 19,369.50 = 19,369.50 : x
  2. Step 2: Convert to fraction form
    12,698/19,369.50 = 19,369.50/x
  3. Step 3: Cross multiply
    12,698x = 19,369.50 × 19,369.50
  4. Step 4: Simplify right side
    12,698x = 375,177,530.25
  5. Step 5: Solve for x
    x = 375,177,530.25/12,698
  6. Step 6: Final answer
    x = 29,546.19

Related Problems

Find third proportional to 6,349 and 9,684.75
Half scale
Find third proportional to 25,396 and 38,739
Double scale
Find third proportional to 12,700 and 19,373
Similar ratio
Find third proportional to 19,047 and 29,054.25
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.