Home / 9,964-13,964

Finding the Third Proportional to 9,964 and 13,964

Calculator

Solution

The third proportional to 9,964 and 13,964 is: 19,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 13,964 = 13,964 : x
  2. Step 2: Convert to fraction form
    9,964/13,964 = 13,964/x
  3. Step 3: Cross multiply
    9,964x = 13,964 × 13,964
  4. Step 4: Simplify right side
    9,964x = 194,993,296
  5. Step 5: Solve for x
    x = 194,993,296/9,964
  6. Step 6: Final answer
    x = 19,569.78

Related Problems

Find third proportional to 4,982 and 6,982
Half scale
Find third proportional to 19,928 and 27,928
Double scale
Find third proportional to 9,966 and 13,967
Similar ratio
Find third proportional to 14,946 and 20,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.