Home / 51,978-121,467

Finding the Third Proportional to 51,978 and 121,467

Calculator

Solution

The third proportional to 51,978 and 121,467 is: 283,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978 : 121,467 = 121,467 : x
  2. Step 2: Convert to fraction form
    51,978/121,467 = 121,467/x
  3. Step 3: Cross multiply
    51,978x = 121,467 × 121,467
  4. Step 4: Simplify right side
    51,978x = 14,754,232,089
  5. Step 5: Solve for x
    x = 14,754,232,089/51,978
  6. Step 6: Final answer
    x = 283,855.33

Related Problems

Find third proportional to 25,989 and 60,733.50
Half scale
Find third proportional to 103,956 and 242,934
Double scale
Find third proportional to 51,980 and 121,472
Similar ratio
Find third proportional to 77,967 and 182,200.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.