Home / 104,319-223,407

Finding the Third Proportional to 104,319 and 223,407

Calculator

Solution

The third proportional to 104,319 and 223,407 is: 478,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,319 : 223,407 = 223,407 : x
  2. Step 2: Convert to fraction form
    104,319/223,407 = 223,407/x
  3. Step 3: Cross multiply
    104,319x = 223,407 × 223,407
  4. Step 4: Simplify right side
    104,319x = 49,910,687,649
  5. Step 5: Solve for x
    x = 49,910,687,649/104,319
  6. Step 6: Final answer
    x = 478,442.93

Related Problems

Find third proportional to 52,159.50 and 111,703.50
Half scale
Find third proportional to 208,638 and 446,814
Double scale
Find third proportional to 104,321 and 223,411
Similar ratio
Find third proportional to 156,478.50 and 335,110.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.