Home / 97,012-214,416

Finding the Third Proportional to 97,012 and 214,416

Calculator

Solution

The third proportional to 97,012 and 214,416 is: 473,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,012 : 214,416 = 214,416 : x
  2. Step 2: Convert to fraction form
    97,012/214,416 = 214,416/x
  3. Step 3: Cross multiply
    97,012x = 214,416 × 214,416
  4. Step 4: Simplify right side
    97,012x = 45,974,221,056
  5. Step 5: Solve for x
    x = 45,974,221,056/97,012
  6. Step 6: Final answer
    x = 473,902.41

Related Problems

Find third proportional to 48,506 and 107,208
Half scale
Find third proportional to 194,024 and 428,832
Double scale
Find third proportional to 97,014 and 214,420
Similar ratio
Find third proportional to 145,518 and 321,624
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.