Home / 189,932-281,970

Finding the Third Proportional to 189,932 and 281,970

Calculator

Solution

The third proportional to 189,932 and 281,970 is: 418,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,932 : 281,970 = 281,970 : x
  2. Step 2: Convert to fraction form
    189,932/281,970 = 281,970/x
  3. Step 3: Cross multiply
    189,932x = 281,970 × 281,970
  4. Step 4: Simplify right side
    189,932x = 79,507,080,900
  5. Step 5: Solve for x
    x = 79,507,080,900/189,932
  6. Step 6: Final answer
    x = 418,608.14

Related Problems

Find third proportional to 94,966 and 140,985
Half scale
Find third proportional to 379,864 and 563,940
Double scale
Find third proportional to 189,934 and 281,973
Similar ratio
Find third proportional to 284,898 and 422,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.