Home / 213,486-309,213

Finding the Third Proportional to 213,486 and 309,213

Calculator

Solution

The third proportional to 213,486 and 309,213 is: 447,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,486 : 309,213 = 309,213 : x
  2. Step 2: Convert to fraction form
    213,486/309,213 = 309,213/x
  3. Step 3: Cross multiply
    213,486x = 309,213 × 309,213
  4. Step 4: Simplify right side
    213,486x = 95,612,679,369
  5. Step 5: Solve for x
    x = 95,612,679,369/213,486
  6. Step 6: Final answer
    x = 447,863.93

Related Problems

Find third proportional to 106,743 and 154,606.50
Half scale
Find third proportional to 426,972 and 618,426
Double scale
Find third proportional to 213,488 and 309,216
Similar ratio
Find third proportional to 320,229 and 463,819.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.