Home / 9,720-14,184

Finding the Third Proportional to 9,720 and 14,184

Calculator

Solution

The third proportional to 9,720 and 14,184 is: 20,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720 : 14,184 = 14,184 : x
  2. Step 2: Convert to fraction form
    9,720/14,184 = 14,184/x
  3. Step 3: Cross multiply
    9,720x = 14,184 × 14,184
  4. Step 4: Simplify right side
    9,720x = 201,185,856
  5. Step 5: Solve for x
    x = 201,185,856/9,720
  6. Step 6: Final answer
    x = 20,698.13

Related Problems

Find third proportional to 4,860 and 7,092
Half scale
Find third proportional to 19,440 and 28,368
Double scale
Find third proportional to 9,722 and 14,187
Similar ratio
Find third proportional to 14,580 and 21,276
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.