Home / 219,284-472,405

Finding the Third Proportional to 219,284 and 472,405

Calculator

Solution

The third proportional to 219,284 and 472,405 is: 1,017,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,284 : 472,405 = 472,405 : x
  2. Step 2: Convert to fraction form
    219,284/472,405 = 472,405/x
  3. Step 3: Cross multiply
    219,284x = 472,405 × 472,405
  4. Step 4: Simplify right side
    219,284x = 223,166,484,025
  5. Step 5: Solve for x
    x = 223,166,484,025/219,284
  6. Step 6: Final answer
    x = 1,017,705.28

Related Problems

Find third proportional to 109,642 and 236,202.50
Half scale
Find third proportional to 438,568 and 944,810
Double scale
Find third proportional to 219,286 and 472,409
Similar ratio
Find third proportional to 328,926 and 708,607.50
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.