Home / 3,564-8,712

Finding the Third Proportional to 3,564 and 8,712

Calculator

Solution

The third proportional to 3,564 and 8,712 is: 21,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 8,712 = 8,712 : x
  2. Step 2: Convert to fraction form
    3,564/8,712 = 8,712/x
  3. Step 3: Cross multiply
    3,564x = 8,712 × 8,712
  4. Step 4: Simplify right side
    3,564x = 75,898,944
  5. Step 5: Solve for x
    x = 75,898,944/3,564
  6. Step 6: Final answer
    x = 21,296

Related Problems

Find third proportional to 1,782 and 4,356
Half scale
Find third proportional to 7,128 and 17,424
Double scale
Find third proportional to 3,566 and 8,717
Similar ratio
Find third proportional to 5,346 and 13,068
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.