Home / 52,099-78,398

Finding the Third Proportional to 52,099 and 78,398

Calculator

Solution

The third proportional to 52,099 and 78,398 is: 117,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099 : 78,398 = 78,398 : x
  2. Step 2: Convert to fraction form
    52,099/78,398 = 78,398/x
  3. Step 3: Cross multiply
    52,099x = 78,398 × 78,398
  4. Step 4: Simplify right side
    52,099x = 6,146,246,404
  5. Step 5: Solve for x
    x = 6,146,246,404/52,099
  6. Step 6: Final answer
    x = 117,972.44

Related Problems

Find third proportional to 26,049.50 and 39,199
Half scale
Find third proportional to 104,198 and 156,796
Double scale
Find third proportional to 52,101 and 78,401
Similar ratio
Find third proportional to 78,148.50 and 117,597
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.