Home / 233,721-511,668

Finding the Third Proportional to 233,721 and 511,668

Calculator

Solution

The third proportional to 233,721 and 511,668 is: 1,120,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,721 : 511,668 = 511,668 : x
  2. Step 2: Convert to fraction form
    233,721/511,668 = 511,668/x
  3. Step 3: Cross multiply
    233,721x = 511,668 × 511,668
  4. Step 4: Simplify right side
    233,721x = 261,804,142,224
  5. Step 5: Solve for x
    x = 261,804,142,224/233,721
  6. Step 6: Final answer
    x = 1,120,156.69

Related Problems

Find third proportional to 116,860.50 and 255,834
Half scale
Find third proportional to 467,442 and 1,023,336
Double scale
Find third proportional to 233,723 and 511,672
Similar ratio
Find third proportional to 350,581.50 and 767,502
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.