Home / 159,643-213,024

Finding the Third Proportional to 159,643 and 213,024

Calculator

Solution

The third proportional to 159,643 and 213,024 is: 284,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,643 : 213,024 = 213,024 : x
  2. Step 2: Convert to fraction form
    159,643/213,024 = 213,024/x
  3. Step 3: Cross multiply
    159,643x = 213,024 × 213,024
  4. Step 4: Simplify right side
    159,643x = 45,379,224,576
  5. Step 5: Solve for x
    x = 45,379,224,576/159,643
  6. Step 6: Final answer
    x = 284,254.40

Related Problems

Find third proportional to 79,821.50 and 106,512
Half scale
Find third proportional to 319,286 and 426,048
Double scale
Find third proportional to 159,645 and 213,027
Similar ratio
Find third proportional to 239,464.50 and 319,536
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.