Home / 8,222-8,924

Finding the Third Proportional to 8,222 and 8,924

Calculator

Solution

The third proportional to 8,222 and 8,924 is: 9,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222 : 8,924 = 8,924 : x
  2. Step 2: Convert to fraction form
    8,222/8,924 = 8,924/x
  3. Step 3: Cross multiply
    8,222x = 8,924 × 8,924
  4. Step 4: Simplify right side
    8,222x = 79,637,776
  5. Step 5: Solve for x
    x = 79,637,776/8,222
  6. Step 6: Final answer
    x = 9,685.94

Related Problems

Find third proportional to 4,111 and 4,462
Half scale
Find third proportional to 16,444 and 17,848
Double scale
Find third proportional to 8,224 and 8,926
Similar ratio
Find third proportional to 12,333 and 13,386
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.