Home / 148,518-313,596

Finding the Third Proportional to 148,518 and 313,596

Calculator

Solution

The third proportional to 148,518 and 313,596 is: 662,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,518 : 313,596 = 313,596 : x
  2. Step 2: Convert to fraction form
    148,518/313,596 = 313,596/x
  3. Step 3: Cross multiply
    148,518x = 313,596 × 313,596
  4. Step 4: Simplify right side
    148,518x = 98,342,451,216
  5. Step 5: Solve for x
    x = 98,342,451,216/148,518
  6. Step 6: Final answer
    x = 662,158.47

Related Problems

Find third proportional to 74,259 and 156,798
Half scale
Find third proportional to 297,036 and 627,192
Double scale
Find third proportional to 148,520 and 313,600
Similar ratio
Find third proportional to 222,777 and 470,394
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.