Home / 214,390-315,164

Finding the Third Proportional to 214,390 and 315,164

Calculator

Solution

The third proportional to 214,390 and 315,164 is: 463,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,390 : 315,164 = 315,164 : x
  2. Step 2: Convert to fraction form
    214,390/315,164 = 315,164/x
  3. Step 3: Cross multiply
    214,390x = 315,164 × 315,164
  4. Step 4: Simplify right side
    214,390x = 99,328,346,896
  5. Step 5: Solve for x
    x = 99,328,346,896/214,390
  6. Step 6: Final answer
    x = 463,306.81

Related Problems

Find third proportional to 107,195 and 157,582
Half scale
Find third proportional to 428,780 and 630,328
Double scale
Find third proportional to 214,392 and 315,167
Similar ratio
Find third proportional to 321,585 and 472,746
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.