Home / 9,840-21,219

Finding the Third Proportional to 9,840 and 21,219

Calculator

Solution

The third proportional to 9,840 and 21,219 is: 45,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840 : 21,219 = 21,219 : x
  2. Step 2: Convert to fraction form
    9,840/21,219 = 21,219/x
  3. Step 3: Cross multiply
    9,840x = 21,219 × 21,219
  4. Step 4: Simplify right side
    9,840x = 450,245,961
  5. Step 5: Solve for x
    x = 450,245,961/9,840
  6. Step 6: Final answer
    x = 45,756.70

Related Problems

Find third proportional to 4,920 and 10,609.50
Half scale
Find third proportional to 19,680 and 42,438
Double scale
Find third proportional to 9,842 and 21,223
Similar ratio
Find third proportional to 14,760 and 31,828.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.