Home / 54,689-78,204

Finding the Third Proportional to 54,689 and 78,204

Calculator

Solution

The third proportional to 54,689 and 78,204 is: 111,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689 : 78,204 = 78,204 : x
  2. Step 2: Convert to fraction form
    54,689/78,204 = 78,204/x
  3. Step 3: Cross multiply
    54,689x = 78,204 × 78,204
  4. Step 4: Simplify right side
    54,689x = 6,115,865,616
  5. Step 5: Solve for x
    x = 6,115,865,616/54,689
  6. Step 6: Final answer
    x = 111,829.90

Related Problems

Find third proportional to 27,344.50 and 39,102
Half scale
Find third proportional to 109,378 and 156,408
Double scale
Find third proportional to 54,691 and 78,207
Similar ratio
Find third proportional to 82,033.50 and 117,306
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.