Home / 120,778-284,189

Finding the Third Proportional to 120,778 and 284,189

Calculator

Solution

The third proportional to 120,778 and 284,189 is: 668,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,778 : 284,189 = 284,189 : x
  2. Step 2: Convert to fraction form
    120,778/284,189 = 284,189/x
  3. Step 3: Cross multiply
    120,778x = 284,189 × 284,189
  4. Step 4: Simplify right side
    120,778x = 80,763,387,721
  5. Step 5: Solve for x
    x = 80,763,387,721/120,778
  6. Step 6: Final answer
    x = 668,692.87

Related Problems

Find third proportional to 60,389 and 142,094.50
Half scale
Find third proportional to 241,556 and 568,378
Double scale
Find third proportional to 120,780 and 284,194
Similar ratio
Find third proportional to 181,167 and 426,283.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.