Home / 9,837-14,288

Finding the Third Proportional to 9,837 and 14,288

Calculator

Solution

The third proportional to 9,837 and 14,288 is: 20,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837 : 14,288 = 14,288 : x
  2. Step 2: Convert to fraction form
    9,837/14,288 = 14,288/x
  3. Step 3: Cross multiply
    9,837x = 14,288 × 14,288
  4. Step 4: Simplify right side
    9,837x = 204,146,944
  5. Step 5: Solve for x
    x = 204,146,944/9,837
  6. Step 6: Final answer
    x = 20,752.97

Related Problems

Find third proportional to 4,918.50 and 7,144
Half scale
Find third proportional to 19,674 and 28,576
Double scale
Find third proportional to 9,839 and 14,291
Similar ratio
Find third proportional to 14,755.50 and 21,432
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.