Home / 5,102-9,868

Finding the Third Proportional to 5,102 and 9,868

Calculator

Solution

The third proportional to 5,102 and 9,868 is: 19,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 9,868 = 9,868 : x
  2. Step 2: Convert to fraction form
    5,102/9,868 = 9,868/x
  3. Step 3: Cross multiply
    5,102x = 9,868 × 9,868
  4. Step 4: Simplify right side
    5,102x = 97,377,424
  5. Step 5: Solve for x
    x = 97,377,424/5,102
  6. Step 6: Final answer
    x = 19,086.13

Related Problems

Find third proportional to 2,551 and 4,934
Half scale
Find third proportional to 10,204 and 19,736
Double scale
Find third proportional to 5,104 and 9,872
Similar ratio
Find third proportional to 7,653 and 14,802
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.