Home / 312,210-657,045

Finding the Third Proportional to 312,210 and 657,045

Calculator

Solution

The third proportional to 312,210 and 657,045 is: 1,382,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,210 : 657,045 = 657,045 : x
  2. Step 2: Convert to fraction form
    312,210/657,045 = 657,045/x
  3. Step 3: Cross multiply
    312,210x = 657,045 × 657,045
  4. Step 4: Simplify right side
    312,210x = 431,708,132,025
  5. Step 5: Solve for x
    x = 431,708,132,025/312,210
  6. Step 6: Final answer
    x = 1,382,749.21

Related Problems

Find third proportional to 156,105 and 328,522.50
Half scale
Find third proportional to 624,420 and 1,314,090
Double scale
Find third proportional to 312,212 and 657,049
Similar ratio
Find third proportional to 468,315 and 985,567.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.