Home / 9,920-18,784

Finding the Third Proportional to 9,920 and 18,784

Calculator

Solution

The third proportional to 9,920 and 18,784 is: 35,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920 : 18,784 = 18,784 : x
  2. Step 2: Convert to fraction form
    9,920/18,784 = 18,784/x
  3. Step 3: Cross multiply
    9,920x = 18,784 × 18,784
  4. Step 4: Simplify right side
    9,920x = 352,838,656
  5. Step 5: Solve for x
    x = 352,838,656/9,920
  6. Step 6: Final answer
    x = 35,568.41

Related Problems

Find third proportional to 4,960 and 9,392
Half scale
Find third proportional to 19,840 and 37,568
Double scale
Find third proportional to 9,922 and 18,788
Similar ratio
Find third proportional to 14,880 and 28,176
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.