Home / 210,129-314,451

Finding the Third Proportional to 210,129 and 314,451

Calculator

Solution

The third proportional to 210,129 and 314,451 is: 470,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,129 : 314,451 = 314,451 : x
  2. Step 2: Convert to fraction form
    210,129/314,451 = 314,451/x
  3. Step 3: Cross multiply
    210,129x = 314,451 × 314,451
  4. Step 4: Simplify right side
    210,129x = 98,879,431,401
  5. Step 5: Solve for x
    x = 98,879,431,401/210,129
  6. Step 6: Final answer
    x = 470,565.37

Related Problems

Find third proportional to 105,064.50 and 157,225.50
Half scale
Find third proportional to 420,258 and 628,902
Double scale
Find third proportional to 210,131 and 314,454
Similar ratio
Find third proportional to 315,193.50 and 471,676.50
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.