Home / 51,242-77,823

Finding the Third Proportional to 51,242 and 77,823

Calculator

Solution

The third proportional to 51,242 and 77,823 is: 118,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,242 : 77,823 = 77,823 : x
  2. Step 2: Convert to fraction form
    51,242/77,823 = 77,823/x
  3. Step 3: Cross multiply
    51,242x = 77,823 × 77,823
  4. Step 4: Simplify right side
    51,242x = 6,056,419,329
  5. Step 5: Solve for x
    x = 6,056,419,329/51,242
  6. Step 6: Final answer
    x = 118,192.49

Related Problems

Find third proportional to 25,621 and 38,911.50
Half scale
Find third proportional to 102,484 and 155,646
Double scale
Find third proportional to 51,244 and 77,826
Similar ratio
Find third proportional to 76,863 and 116,734.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.