Home / 281,890-431,765

Finding the Third Proportional to 281,890 and 431,765

Calculator

Solution

The third proportional to 281,890 and 431,765 is: 661,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,890 : 431,765 = 431,765 : x
  2. Step 2: Convert to fraction form
    281,890/431,765 = 431,765/x
  3. Step 3: Cross multiply
    281,890x = 431,765 × 431,765
  4. Step 4: Simplify right side
    281,890x = 186,421,015,225
  5. Step 5: Solve for x
    x = 186,421,015,225/281,890
  6. Step 6: Final answer
    x = 661,325.39

Related Problems

Find third proportional to 140,945 and 215,882.50
Half scale
Find third proportional to 563,780 and 863,530
Double scale
Find third proportional to 281,892 and 431,768
Similar ratio
Find third proportional to 422,835 and 647,647.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.