Home / 97,832-214,420

Finding the Third Proportional to 97,832 and 214,420

Calculator

Solution

The third proportional to 97,832 and 214,420 is: 469,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,832 : 214,420 = 214,420 : x
  2. Step 2: Convert to fraction form
    97,832/214,420 = 214,420/x
  3. Step 3: Cross multiply
    97,832x = 214,420 × 214,420
  4. Step 4: Simplify right side
    97,832x = 45,975,936,400
  5. Step 5: Solve for x
    x = 45,975,936,400/97,832
  6. Step 6: Final answer
    x = 469,947.83

Related Problems

Find third proportional to 48,916 and 107,210
Half scale
Find third proportional to 195,664 and 428,840
Double scale
Find third proportional to 97,834 and 214,424
Similar ratio
Find third proportional to 146,748 and 321,630
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.