Home / 219,561-472,410

Finding the Third Proportional to 219,561 and 472,410

Calculator

Solution

The third proportional to 219,561 and 472,410 is: 1,016,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,561 : 472,410 = 472,410 : x
  2. Step 2: Convert to fraction form
    219,561/472,410 = 472,410/x
  3. Step 3: Cross multiply
    219,561x = 472,410 × 472,410
  4. Step 4: Simplify right side
    219,561x = 223,171,208,100
  5. Step 5: Solve for x
    x = 223,171,208,100/219,561
  6. Step 6: Final answer
    x = 1,016,442.85

Related Problems

Find third proportional to 109,780.50 and 236,205
Half scale
Find third proportional to 439,122 and 944,820
Double scale
Find third proportional to 219,563 and 472,414
Similar ratio
Find third proportional to 329,341.50 and 708,615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.