Home / 209,384-458,643

Finding the Third Proportional to 209,384 and 458,643

Calculator

Solution

The third proportional to 209,384 and 458,643 is: 1,004,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,384 : 458,643 = 458,643 : x
  2. Step 2: Convert to fraction form
    209,384/458,643 = 458,643/x
  3. Step 3: Cross multiply
    209,384x = 458,643 × 458,643
  4. Step 4: Simplify right side
    209,384x = 210,353,401,449
  5. Step 5: Solve for x
    x = 210,353,401,449/209,384
  6. Step 6: Final answer
    x = 1,004,629.78

Related Problems

Find third proportional to 104,692 and 229,321.50
Half scale
Find third proportional to 418,768 and 917,286
Double scale
Find third proportional to 209,386 and 458,647
Similar ratio
Find third proportional to 314,076 and 687,964.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.