Home / 213,134-312,789

Finding the Third Proportional to 213,134 and 312,789

Calculator

Solution

The third proportional to 213,134 and 312,789 is: 459,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,134 : 312,789 = 312,789 : x
  2. Step 2: Convert to fraction form
    213,134/312,789 = 312,789/x
  3. Step 3: Cross multiply
    213,134x = 312,789 × 312,789
  4. Step 4: Simplify right side
    213,134x = 97,836,958,521
  5. Step 5: Solve for x
    x = 97,836,958,521/213,134
  6. Step 6: Final answer
    x = 459,039.66

Related Problems

Find third proportional to 106,567 and 156,394.50
Half scale
Find third proportional to 426,268 and 625,578
Double scale
Find third proportional to 213,136 and 312,792
Similar ratio
Find third proportional to 319,701 and 469,183.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.