Home / 75,506-105,844

Finding the Third Proportional to 75,506 and 105,844

Calculator

Solution

The third proportional to 75,506 and 105,844 is: 148,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506 : 105,844 = 105,844 : x
  2. Step 2: Convert to fraction form
    75,506/105,844 = 105,844/x
  3. Step 3: Cross multiply
    75,506x = 105,844 × 105,844
  4. Step 4: Simplify right side
    75,506x = 11,202,952,336
  5. Step 5: Solve for x
    x = 11,202,952,336/75,506
  6. Step 6: Final answer
    x = 148,371.68

Related Problems

Find third proportional to 37,753 and 52,922
Half scale
Find third proportional to 151,012 and 211,688
Double scale
Find third proportional to 75,508 and 105,847
Similar ratio
Find third proportional to 113,259 and 158,766
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.