Home / 319,760-461,959

Finding the Third Proportional to 319,760 and 461,959

Calculator

Solution

The third proportional to 319,760 and 461,959 is: 667,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,760 : 461,959 = 461,959 : x
  2. Step 2: Convert to fraction form
    319,760/461,959 = 461,959/x
  3. Step 3: Cross multiply
    319,760x = 461,959 × 461,959
  4. Step 4: Simplify right side
    319,760x = 213,406,117,681
  5. Step 5: Solve for x
    x = 213,406,117,681/319,760
  6. Step 6: Final answer
    x = 667,394.66

Related Problems

Find third proportional to 159,880 and 230,979.50
Half scale
Find third proportional to 639,520 and 923,918
Double scale
Find third proportional to 319,762 and 461,962
Similar ratio
Find third proportional to 479,640 and 692,938.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.