Home / 34,004-51,006

Finding the Third Proportional to 34,004 and 51,006

Calculator

Solution

The third proportional to 34,004 and 51,006 is: 76,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004 : 51,006 = 51,006 : x
  2. Step 2: Convert to fraction form
    34,004/51,006 = 51,006/x
  3. Step 3: Cross multiply
    34,004x = 51,006 × 51,006
  4. Step 4: Simplify right side
    34,004x = 2,601,612,036
  5. Step 5: Solve for x
    x = 2,601,612,036/34,004
  6. Step 6: Final answer
    x = 76,509

Related Problems

Find third proportional to 17,002 and 25,503
Half scale
Find third proportional to 68,008 and 102,012
Double scale
Find third proportional to 34,006 and 51,009
Similar ratio
Find third proportional to 51,006 and 76,509
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.