Home / 9,796-16,454

Finding the Third Proportional to 9,796 and 16,454

Calculator

Solution

The third proportional to 9,796 and 16,454 is: 27,637.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 16,454 = 16,454 : x
  2. Step 2: Convert to fraction form
    9,796/16,454 = 16,454/x
  3. Step 3: Cross multiply
    9,796x = 16,454 × 16,454
  4. Step 4: Simplify right side
    9,796x = 270,734,116
  5. Step 5: Solve for x
    x = 270,734,116/9,796
  6. Step 6: Final answer
    x = 27,637.21

Related Problems

Find third proportional to 4,898 and 8,227
Half scale
Find third proportional to 19,592 and 32,908
Double scale
Find third proportional to 9,798 and 16,457
Similar ratio
Find third proportional to 14,694 and 24,681
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.