Home / 9,952-11,464

Finding the Third Proportional to 9,952 and 11,464

Calculator

Solution

The third proportional to 9,952 and 11,464 is: 13,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952 : 11,464 = 11,464 : x
  2. Step 2: Convert to fraction form
    9,952/11,464 = 11,464/x
  3. Step 3: Cross multiply
    9,952x = 11,464 × 11,464
  4. Step 4: Simplify right side
    9,952x = 131,423,296
  5. Step 5: Solve for x
    x = 131,423,296/9,952
  6. Step 6: Final answer
    x = 13,205.72

Related Problems

Find third proportional to 4,976 and 5,732
Half scale
Find third proportional to 19,904 and 22,928
Double scale
Find third proportional to 9,954 and 11,466
Similar ratio
Find third proportional to 14,928 and 17,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.