Home / 101,009-219,753

Finding the Third Proportional to 101,009 and 219,753

Calculator

Solution

The third proportional to 101,009 and 219,753 is: 478,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,009 : 219,753 = 219,753 : x
  2. Step 2: Convert to fraction form
    101,009/219,753 = 219,753/x
  3. Step 3: Cross multiply
    101,009x = 219,753 × 219,753
  4. Step 4: Simplify right side
    101,009x = 48,291,381,009
  5. Step 5: Solve for x
    x = 48,291,381,009/101,009
  6. Step 6: Final answer
    x = 478,089.88

Related Problems

Find third proportional to 50,504.50 and 109,876.50
Half scale
Find third proportional to 202,018 and 439,506
Double scale
Find third proportional to 101,011 and 219,757
Similar ratio
Find third proportional to 151,513.50 and 329,629.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.