Home / 9,864-14,040

Finding the Third Proportional to 9,864 and 14,040

Calculator

Solution

The third proportional to 9,864 and 14,040 is: 19,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 14,040 = 14,040 : x
  2. Step 2: Convert to fraction form
    9,864/14,040 = 14,040/x
  3. Step 3: Cross multiply
    9,864x = 14,040 × 14,040
  4. Step 4: Simplify right side
    9,864x = 197,121,600
  5. Step 5: Solve for x
    x = 197,121,600/9,864
  6. Step 6: Final answer
    x = 19,983.94

Related Problems

Find third proportional to 4,932 and 7,020
Half scale
Find third proportional to 19,728 and 28,080
Double scale
Find third proportional to 9,866 and 14,043
Similar ratio
Find third proportional to 14,796 and 21,060
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.