Home / 2,009-4,564

Finding the Third Proportional to 2,009 and 4,564

Calculator

Solution

The third proportional to 2,009 and 4,564 is: 10,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009 : 4,564 = 4,564 : x
  2. Step 2: Convert to fraction form
    2,009/4,564 = 4,564/x
  3. Step 3: Cross multiply
    2,009x = 4,564 × 4,564
  4. Step 4: Simplify right side
    2,009x = 20,830,096
  5. Step 5: Solve for x
    x = 20,830,096/2,009
  6. Step 6: Final answer
    x = 10,368.39

Related Problems

Find third proportional to 1,004.50 and 2,282
Half scale
Find third proportional to 4,018 and 9,128
Double scale
Find third proportional to 2,011 and 4,569
Similar ratio
Find third proportional to 3,013.50 and 6,846
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.