Home / 9,902-13,899

Finding the Third Proportional to 9,902 and 13,899

Calculator

Solution

The third proportional to 9,902 and 13,899 is: 19,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902 : 13,899 = 13,899 : x
  2. Step 2: Convert to fraction form
    9,902/13,899 = 13,899/x
  3. Step 3: Cross multiply
    9,902x = 13,899 × 13,899
  4. Step 4: Simplify right side
    9,902x = 193,182,201
  5. Step 5: Solve for x
    x = 193,182,201/9,902
  6. Step 6: Final answer
    x = 19,509.41

Related Problems

Find third proportional to 4,951 and 6,949.50
Half scale
Find third proportional to 19,804 and 27,798
Double scale
Find third proportional to 9,904 and 13,902
Similar ratio
Find third proportional to 14,853 and 20,848.50
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.