Home / 10,614-19,902

Finding the Third Proportional to 10,614 and 19,902

Calculator

Solution

The third proportional to 10,614 and 19,902 is: 37,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 19,902 = 19,902 : x
  2. Step 2: Convert to fraction form
    10,614/19,902 = 19,902/x
  3. Step 3: Cross multiply
    10,614x = 19,902 × 19,902
  4. Step 4: Simplify right side
    10,614x = 396,089,604
  5. Step 5: Solve for x
    x = 396,089,604/10,614
  6. Step 6: Final answer
    x = 37,317.66

Related Problems

Find third proportional to 5,307 and 9,951
Half scale
Find third proportional to 21,228 and 39,804
Double scale
Find third proportional to 10,616 and 19,906
Similar ratio
Find third proportional to 15,921 and 29,853
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.