Home / 9,164-16,924

Finding the Third Proportional to 9,164 and 16,924

Calculator

Solution

The third proportional to 9,164 and 16,924 is: 31,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164 : 16,924 = 16,924 : x
  2. Step 2: Convert to fraction form
    9,164/16,924 = 16,924/x
  3. Step 3: Cross multiply
    9,164x = 16,924 × 16,924
  4. Step 4: Simplify right side
    9,164x = 286,421,776
  5. Step 5: Solve for x
    x = 286,421,776/9,164
  6. Step 6: Final answer
    x = 31,255.10

Related Problems

Find third proportional to 4,582 and 8,462
Half scale
Find third proportional to 18,328 and 33,848
Double scale
Find third proportional to 9,166 and 16,928
Similar ratio
Find third proportional to 13,746 and 25,386
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.