Home / 219,564-472,416

Finding the Third Proportional to 219,564 and 472,416

Calculator

Solution

The third proportional to 219,564 and 472,416 is: 1,016,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,564 : 472,416 = 472,416 : x
  2. Step 2: Convert to fraction form
    219,564/472,416 = 472,416/x
  3. Step 3: Cross multiply
    219,564x = 472,416 × 472,416
  4. Step 4: Simplify right side
    219,564x = 223,176,877,056
  5. Step 5: Solve for x
    x = 223,176,877,056/219,564
  6. Step 6: Final answer
    x = 1,016,454.78

Related Problems

Find third proportional to 109,782 and 236,208
Half scale
Find third proportional to 439,128 and 944,832
Double scale
Find third proportional to 219,566 and 472,420
Similar ratio
Find third proportional to 329,346 and 708,624
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.