Home / 8,564-16,856

Finding the Third Proportional to 8,564 and 16,856

Calculator

Solution

The third proportional to 8,564 and 16,856 is: 33,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 16,856 = 16,856 : x
  2. Step 2: Convert to fraction form
    8,564/16,856 = 16,856/x
  3. Step 3: Cross multiply
    8,564x = 16,856 × 16,856
  4. Step 4: Simplify right side
    8,564x = 284,124,736
  5. Step 5: Solve for x
    x = 284,124,736/8,564
  6. Step 6: Final answer
    x = 33,176.64

Related Problems

Find third proportional to 4,282 and 8,428
Half scale
Find third proportional to 17,128 and 33,712
Double scale
Find third proportional to 8,566 and 16,860
Similar ratio
Find third proportional to 12,846 and 25,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.