Home / 102,014-220,974

Finding the Third Proportional to 102,014 and 220,974

Calculator

Solution

The third proportional to 102,014 and 220,974 is: 478,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014 : 220,974 = 220,974 : x
  2. Step 2: Convert to fraction form
    102,014/220,974 = 220,974/x
  3. Step 3: Cross multiply
    102,014x = 220,974 × 220,974
  4. Step 4: Simplify right side
    102,014x = 48,829,508,676
  5. Step 5: Solve for x
    x = 48,829,508,676/102,014
  6. Step 6: Final answer
    x = 478,654.98

Related Problems

Find third proportional to 51,007 and 110,487
Half scale
Find third proportional to 204,028 and 441,948
Double scale
Find third proportional to 102,016 and 220,978
Similar ratio
Find third proportional to 153,021 and 331,461
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.