Home / 1,004-2,152

Finding the Third Proportional to 1,004 and 2,152

Calculator

Solution

The third proportional to 1,004 and 2,152 is: 4,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004 : 2,152 = 2,152 : x
  2. Step 2: Convert to fraction form
    1,004/2,152 = 2,152/x
  3. Step 3: Cross multiply
    1,004x = 2,152 × 2,152
  4. Step 4: Simplify right side
    1,004x = 4,631,104
  5. Step 5: Solve for x
    x = 4,631,104/1,004
  6. Step 6: Final answer
    x = 4,612.65

Related Problems

Find third proportional to 502 and 1,076
Half scale
Find third proportional to 2,008 and 4,304
Double scale
Find third proportional to 1,006 and 2,156
Similar ratio
Find third proportional to 1,506 and 3,228
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.