Home / 105,911-232,812

Finding the Third Proportional to 105,911 and 232,812

Calculator

Solution

The third proportional to 105,911 and 232,812 is: 511,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,911 : 232,812 = 232,812 : x
  2. Step 2: Convert to fraction form
    105,911/232,812 = 232,812/x
  3. Step 3: Cross multiply
    105,911x = 232,812 × 232,812
  4. Step 4: Simplify right side
    105,911x = 54,201,427,344
  5. Step 5: Solve for x
    x = 54,201,427,344/105,911
  6. Step 6: Final answer
    x = 511,763.91

Related Problems

Find third proportional to 52,955.50 and 116,406
Half scale
Find third proportional to 211,822 and 465,624
Double scale
Find third proportional to 105,913 and 232,816
Similar ratio
Find third proportional to 158,866.50 and 349,218
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.