Home / 150,697-206,635

Finding the Third Proportional to 150,697 and 206,635

Calculator

Solution

The third proportional to 150,697 and 206,635 is: 283,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,697 : 206,635 = 206,635 : x
  2. Step 2: Convert to fraction form
    150,697/206,635 = 206,635/x
  3. Step 3: Cross multiply
    150,697x = 206,635 × 206,635
  4. Step 4: Simplify right side
    150,697x = 42,698,023,225
  5. Step 5: Solve for x
    x = 42,698,023,225/150,697
  6. Step 6: Final answer
    x = 283,336.92

Related Problems

Find third proportional to 75,348.50 and 103,317.50
Half scale
Find third proportional to 301,394 and 413,270
Double scale
Find third proportional to 150,699 and 206,638
Similar ratio
Find third proportional to 226,045.50 and 309,952.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.