Home / 47,106-103,689

Finding the Third Proportional to 47,106 and 103,689

Calculator

Solution

The third proportional to 47,106 and 103,689 is: 228,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106 : 103,689 = 103,689 : x
  2. Step 2: Convert to fraction form
    47,106/103,689 = 103,689/x
  3. Step 3: Cross multiply
    47,106x = 103,689 × 103,689
  4. Step 4: Simplify right side
    47,106x = 10,751,408,721
  5. Step 5: Solve for x
    x = 10,751,408,721/47,106
  6. Step 6: Final answer
    x = 228,238.63

Related Problems

Find third proportional to 23,553 and 51,844.50
Half scale
Find third proportional to 94,212 and 207,378
Double scale
Find third proportional to 47,108 and 103,693
Similar ratio
Find third proportional to 70,659 and 155,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.