Home / 213,138-312,794

Finding the Third Proportional to 213,138 and 312,794

Calculator

Solution

The third proportional to 213,138 and 312,794 is: 459,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,138 : 312,794 = 312,794 : x
  2. Step 2: Convert to fraction form
    213,138/312,794 = 312,794/x
  3. Step 3: Cross multiply
    213,138x = 312,794 × 312,794
  4. Step 4: Simplify right side
    213,138x = 97,840,086,436
  5. Step 5: Solve for x
    x = 97,840,086,436/213,138
  6. Step 6: Final answer
    x = 459,045.72

Related Problems

Find third proportional to 106,569 and 156,397
Half scale
Find third proportional to 426,276 and 625,588
Double scale
Find third proportional to 213,140 and 312,797
Similar ratio
Find third proportional to 319,707 and 469,191
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.