Home / 97,842-214,437

Finding the Third Proportional to 97,842 and 214,437

Calculator

Solution

The third proportional to 97,842 and 214,437 is: 469,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,842 : 214,437 = 214,437 : x
  2. Step 2: Convert to fraction form
    97,842/214,437 = 214,437/x
  3. Step 3: Cross multiply
    97,842x = 214,437 × 214,437
  4. Step 4: Simplify right side
    97,842x = 45,983,226,969
  5. Step 5: Solve for x
    x = 45,983,226,969/97,842
  6. Step 6: Final answer
    x = 469,974.32

Related Problems

Find third proportional to 48,921 and 107,218.50
Half scale
Find third proportional to 195,684 and 428,874
Double scale
Find third proportional to 97,844 and 214,441
Similar ratio
Find third proportional to 146,763 and 321,655.50
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.